She's cute, but GET A VET CHECK. There's almost no way she doesn't end up with medical problems after what they put her through as a two-year-old. It's just a question of how serious they are and when they show up.
Also, be prepared to do a lot of gait training. If this is your first gaited horse, you'll need a trainer. She's pacing really badly in the beginning of the second video. Big lick TWHs are bred to be pacey because pacey horses do a better running walk with pads on. But when you take the pads off, they pace.
Pacing is bumpy to ride unless you keep them very slow. It still rocks you side to side, though, which doesn't bother some people but some people hate (me included!). Pacing is bad for their bodies and shouldn't be encouraged : )