So is this sort of behaviour normal for her, has been gradually getting worse, or was the other day a big change? If it's a sudden change, what's been happening recently?
Whatever, I first strongly advise you forget 'roundpenning' for now at least & as it sounds that you & your dad are not experienced with training, I'd strongly
advise you find someone that is, to teach you all. Perservering is only likely to make this horse far more dangerous & harder for even a good trainer to work with.
I started getting a lot meaner with the lunge whip as her behaviour got worse, I gave her several cracks across the butt, and snapped the tail to make noise to try and get her to MOVE. She wouldn't. She actually started acting like a bull or cow that was thinking about chasing.
While punishment can sometimes be warranted & helpful IMO, it sounds like you were probably being unclear(how did you attempt to *teach* her the 'right' responses?) & too confrontational, so adding further punishment to that mix only made matters worse.
Needless to say, she got left in the round pen alone for a few hours.
I will assume that was due to your knee & concerns about safety. I hope if she were left there for a few hours she at least got some hay? It is bad for their health to go hungry for periods of time. If it was because you were hoping to further punish her, you need to understand that horses only learn by *instant* association and don't understand abstract concepts, so if it was bad for her, the association will only be with the roundpen if anything, not her 'wrong' behaviour. So whether you punish or reward, it needs to happen *at the time of* the behaviour you want to influence.
And then she JUMPED out of the round-pen (roughly 5 feet).
Sounds like she's been pushed way too hard & is confused & frightened of the whole experience
And this all is not without punishment, let me tell you. But she doesn't get the hint. She doesn't understand that she has to respect the human working with her.
You're right, she doesn't get it. Of course she doesn't have to respect 'the human', although I think it's definitely desireable if you can *earn*
I believe she was spoiled as a yearling before I bought her and it's showing up now.
While you don't tell how you handle/train her, except that you're not shy of dishing out 'punishment', I believe that regardless of her previous experiences, you are making matters worse. Without more info, there is nothing here to suggest it was prior experiences & everything to suggest that it is your/your dad's approach. **Sorry to be blunt. I don't mean to offend, trying not to assume, but this is the way it honestly sounds to me.