Nice Falco. Only watched the first vid.
Here are some things that I would personally do, not sure if they're the best choice but uh... I prefer using nair to approach doc instead of dair. nair seems to cover more range for and if it hits them it sets up for combos better than dair does imo. Also if uthrow isn't leading to anything, maybe try dthrow techchase. I think tech chasing with falco's dthrow is the funniest **** ever and works surprisingly well. And I also recommend using just standard dair shine dair pillar instead of dair double shine since it seems like you can't double shine properly yet. You're letting the doc get away by not pressuring properly and full hoping =/
Other than that, I would say full hop a little less, but if you personally like full hopping, at least add some lasers in so that you're not as vulnerable.
EDIT: Wow, I basically said exactly what Teh Umby said. This guy knows his stuff :D