The horse looks like a good jumper at the moment, need to work a bit with kick of points etc, but that comes with time - she cleared all though, I think she hit one, but it stayed on.
I saw a rushed trot - need to work with that a bit more, but I guess first show - lots of nerves and adrenaline, hard to be calm. Canter - good, should sit down a bit more not just run the whole course in hunters seat, easier to control the horse and help it. Plus the fact that once you start jumping higher, the horse needs you to be sitting before the jump and then jump with it - if you are on a hunters seat all the time, your weight is more forwards and it is harder for the horse to take off - I had one horse I was training with who was very sensitive on the weight - if I jumped before him, he droped his forelegs, if I didnt get out of the saddle enough, his hind dropped.. he would jump clear mainly only if I got it right.
And as said before, think about your hands and working with lead changes, and later smaller curves to get to the next jump. not too small, but not that huge either :)