Overall, get rid of whatever bit you are using. It is obvious it is too much for her. Especially in the 3rd video you posted, you see how she threw her head coming around the 2nd barrel? You also notice how she is antsy and swishing her tail in most of the runs? Something is bugging her and my first guess it is the twisted wire bit. And it would be a good idea to also check for pain anywhere else like with the saddle or a back issue. A swishing tail often means pain, although there are just some horses that are tail-swishers becauase no sources of pain could be found anywhere after a thorough examination (vet, chiro, dentist, massage).
While most people do like to have a bit for a home and a different bit for competition, you don't HAVE to do that. Especially while she is still learning and you are still training, you should only be using ONE bit on her until she is seasoned and fully trained; then you can consider having a separate competition bit. Think of it this way: You can't be teaching her gradeschool material at home with a smooth snaffle, and then expect her to jump into highschool material in a strange environment at a show with a twisted wire gag. They are just 2 totally different bits.
And for clarification purposes, THIS is a smooth snaffle
, as it is very common for many people to mistake what a true snaffle is. A true snaffle has no shanks.
If you have a gag bit at home that is snagging, either fix it completely (cleaning it often works) or get rid of the bit. It is not going to help you or her to have a bit that does not work properly and/or pinches her in the process.
and she can run right through the snaffle if she wants to
You mean, YOU can ALLOW her run right through a snaffle if she wants to. Never should a horse not stop when you ask. I don't care if you have nothing but a piece of string through their mouth. For my horses, when I say stop, they stop. No questions asked. It is just safe and smart.
This may take some re-training and starting from scratch, but you need to have a horse that is responsive and respectful. If you are not sure how to train this, just say so (there's no shame in learning) and I can explain what I would do. All to often, people just resort to a harsher bit (like you said you did by going to a twisted wire) instead of actually fixing the problem of why the horse won't stop in the first place.
VIDEO NUMBER 1 - BARRELS
Didn't get your approach or barrel 1 on the video.
She did not switch her lead when you got to barrel number 2. That's why she turned not smooth. It actually was a great amount of effort on her part, because she switched them during the turn. Regardless, you need to teach her to do a flying lead change at least before the 2nd barrel; but preferably mid-way between barrel 1 and 2. So when you get to barrel 2, you can focus on setting her up for the barrel, rather than having to focus on leads. If you don't know how to train a flying lead change, again, just say so and I can go into more detail on that (there was a point in my life when I didn't even know what a flying lead change was....everyone learns).
I'm not really sure what happened on the 3rd. She came into it on the correct lead since she left the 2nd with the correct lead. But it almost looks like you allowed her to almost cut it off. Make her stay over and keep room in the pocket and keep her momentum. Very important to keep momentum in the turns so when you do start to speed it up, its there. Slow turns will kill your time. Also, I noticed you were looked AT the 3rd barrel as you went around it. "Wherever you are looking, that is where the horse will go." So what will happen if you look AT the barrel? Well the horse is going to go AT the barrel too. You need to be looking at axis points on the ground around the barrel; the same points that you want your horse to get to as you do the turn.
VIDEO NUMBER 2 - POLES
It looks like you took your initial starting turn too tight, which caused her pretty much to come to a standstill. Just like in barrels, the momentum you have around turns is crucial for a fast time when you finally speed it up. So while you are training her (barrels or poles) give her a little more room than she needs in the turns to encourage her to keep her current speed up. As you increase the speed and she gets better and more seasoned, you can suck the turns in. It is much, much easier to tighten up a turn, than to try to teach a horse to give the turns more room.
When you are weaving, she is not changing her leads. Not good. You need to teach her that. Start by two-tracking through the pattern at the trot and as her to do a side-pass or diagonal movement between each pole. So if you want her to weave to the left, remove your left leg from her ( to open the door) and use pressure with your right leg (to push her over). Keep her neck and head fairly straight, as when you do increase the speed someday, you don't want her neck bowing one way or the other during the run, as that just takes more effort and is not as quick and literally weaving with a mostly-straight body.
You know she is not changing her leads because
1) watch her feet and you can see
2) she is weaving easily to the right (cuz she is in her right lead)
3) she is having trouble weaving to the left (cuz she is not changing to the left lead- she is staying on the right)
When you are weaving back at the trot, I can't tell if you are doing the two-tracking like a just described since the videoer zoomed out. It didn't look like you were using your legs much, but I could be wrong.
VIDEO NUMBER 3 - BARRELS
First barrel looks pretty good. You see how she kept her momentum, had a nice smooth turn, and was on the correct lead?
At the second barrel in this video, she had already switched to the correct lead so that is good. But the turn was not smooth. She lost momentum on the backside. So you need to push her deeper, and slightly wider, in the turn so she keeps up her galloping momentum and uses it to her advantage to drive herself through the turn. And as I mentioned above, you see when you made contact on the bit during that turn? She threw her head in response. That tells me that that twisted wire gag is too much.
I can't tell from the angle of the camera, but it almost appears as if you drift out when you leave the 2nd and head to the 3rd? I can't exactly tell, but always make sure you are making a dead straight line from barrel to barrel. No drifting!! It costs way too much time.
Same with the 3rd barrel turn as with the 2nd. You are trying to turn too close and too short and she loses momentum (actually breaks down to a trot for a split second). Push her deeper and let her take it a bit wider until she is more seasoned. Just keep that galloping going smooth all the way around the barrel.
VIDEO NUMBER 4 - POLES
Same problem on the first pole here as we had in the other video. Keep her momentum going and push her farther/longer into the turn, because she was trying to cut it short and get around that first pole.
I can't tell when you weave down if she is swiching her leads or not. The video is too small and too bouncy. She appears to be weaving nice though.
Middle turn was a bit wide, but that's okay. She's still learning.
The weave back she is NOT switching her leads. She is staying on her left lead the whole weave, although she is weaving nicer than the first video. She MUST MUST MUST learn to switch her leads or you will have issues when you speed it up. Take the time now to fix it, and it will be easier to fix than down the road if you just let it go.
Again, give her a wee bit of more room around the last end pole. She stuttered in her momentum. You want to keep her going smooth and strong all the way around.
Now don't get me wrong for all the negative-sounding critiques. It does look like she is doing just fabulous for what little riding/time you have had for her. Believe me, I totally understand trying to work with a horse while going to school. I am currently on my 3rd year of graduate school, which means I've been juggling college and horses for 7 years now.
She looks like she's a lot of fun to ride and seems to really enjoy the barrels. I think she will turn out quite nicely.