Spend more time in 2 point when you warm your horse up. Your lower leg is slipping forward.
Revise this video to help with position:
You also seem to lean on your hands for balance instead of using your core. Is there someone that can lunge you so you can work on handless w/t/c?
Also I'd like to see her moving out more, encourage her to really stretch out. She was really thinking about is at 0:36 and you had the right tempo at 1:25
I'd like to see her bending some more. Hold your outside rein a little farther from her neck and tap your inside leg to ask her to step over into that outside rein.
How does the saddle fit her? I think she would benefit from a halfpad but don't quote me on that since these are moving shots.
I think if you sit back and use your seat instead of throwing it away, she would move out a lot better and you'll be able to bend her and really help her use her back instead of evading.
Okay.. rule number 1. Never ask for a gait up without having a nice current gait. So if your walk is awful, do not trot until you have a nice engaged walk. The horse must stay connected through the transition.. again more seat so sit back and DRIVE the mare, add some leg and encourage her with your hands. Make sure that they aren't tense, they're nice and flexible and your elbows must follow the horse's movement (horse stretched forward, elbows open, horse comes back, elbows close.)
So, your trot was less than stellar. I would have circled, and then asked for the canter when the horse was coming out of that circle. Circles require bending the horse from tip to tail, around your inside leg. Having your seat would benefit you and your horse.