Sounds like possibly a relationship issue to me, rather than a training one so much. Your horse does what you ask for softly and reliably when she's in the indoor arena? But when she's outside in view of her mates & her freedom, she does everything she can to tell you she wants to be with them, not you? If so, think what you need to focus on is making her time with you pleasant for her first & foremost. Make the tasks you ask of her fun &/or rewarding.
If she really is perfect at the walk, but not faster, I would also want to first make very sure I'd ruled out saddle or other pain. Horses can often have trouble at faster paces, but cope OK at a walk with a bad back/saddle. Also being one sided, assuming she's been trained equally with either side suggests a physical issue.
Well When I try and 1 rein stop she keeps her neck straight and I put a lot more pressure and yank her in a circle, which doesnt seem to be helping.
I think this is definitely part of your problem. This will be reinforcing her defensiveness - giving her more reason for it - & making matters worse. This is not a 1 rein stop. You don't force it, you *teach* it. If/when she doesn't respond - or braces against - your softest cue, you need to increase it, but just to a level of discomfort, then hold it & wait - you don't start forcing the issue & yanking her around. This is a sure way to get bad results, aside from not teaching her to yield effectively.
Shes perfect with walking but once we move to a trot its a fight.
Really perfect? Is she *reliably* soft & obedient with everything you ask? If not, I'd be getting her better at the walk first. I would also start into trotting in the easiest environment. Eg. Get her good at trotting in the indoor before you increase the level of difficulty by adding distractions.
I tried moving her head to my toe at the halt. We just ended up going in circles. Once she touched my toe I stopped.
If she doesn't understand what you want at the halt, don't expect her to get it at a walk, let alone a trot or canter. I think it sounds like you're just expecting too much to begin with. You must start with something easy & *gradually* work towards your goal of having her bend her head right round.
Eg. Ask her first to just yield to light pressure on one rein. Reinforce & reward *whatever* she gives you, even if it's only an inch. Repeat this until she's confident of what to do, before asking for *a little* more. I'd also teach her the bending & not moving her feet as separate criteria & only ask her to bend *&* stand still after she'd become good & reliable about bending in the first place.
And when I give her leg cues I usually use the leg im turning her towards.. I think that's right lol
There are a few different ways people use their legs, so with the advice of your instructor, so long as it's clear & consistent, you should do OK whatever system. This sounds possibly backwards compared to my method tho.
I teach a horse to yield to pressure wherever I put it. So if I want them to yield their forehand over, I use the 'outside' leg to push on the girth or further forward(depending on the stage of training). If I want them to yield their hindquarters I use the 'inside' leg a little further back to 'push' the hq over. If I want a spin, I use outside forward and inside back, and if I want a 1 rein stop, or bend without moving, I keep my legs off.