You are HOLDING the horse behind the bit...that is not only bad on the horse's neck, but it's not the correct position. Also the horse is hallow and is not collecting properly. YOu definately need to relax in the saddle...you are REALLLLLLY stiff. Take a deep breath and flow with his movements. He's a nice little gelding and is trying to give you his all, but, not trying to sound too harsh, but I think this might need to be said, you are being extremely too harsh on his mouth and not releasing (the reward) when he gets it correct.
A little nicer on his mouth, but still unforgiving with the bit. Try to be a tad bit softer with the bit. Other than that, your body is still stiff, but better than before.
SUGGESTIONS: For stiffness, try riding without stirrups for a while to help gain your balance. Also lower your stirrups down a bit also. Work on being gentle with the bit. Ask for him to put his head on the poll, once he does release as the reward....horsers learn from the release of pressure...then if he raises it up ask again, then release.
As for jumping:
Can't give any critique for I know nothing on jumping.
I'm sorry if I was overly harsh with the critique, but I wanted to state what I thought and what I thought you should know.
But I love his movements. He has nice gaits and is nice all around horse. I think he'll go far in dressage competitions! What breed and what age?
He's a nice little mover and I really like him!! If you find him missing...I'll admit to this one.....it was me