SHBAWD--just get used to hitting b-air as fast as you can--doing it super quickly gives you noticable time to either jump again or WD.
If you can't really cape well, use down angled f-tilt. Of course grabbing the edge is better, but I'd use f-tilt if I wasn't used to simply caping people...
Also, up-tilt is nice if you know a spacie is going to try and illusion at/slightly above you.
Lasers: the first thing to do if to try to learn to powershield. Pretty much that solves the problem. However, doing it consistently is annoying....so:
1. Try to get on platforms. Your problem was you weren't jumping soon enough, so he just stuffed your attempt to jump. Try and have a quicker reaction time XD or just throw out a pill if you are close enough, to disrupt him. use that faction of a second to approach with FJ pills.
2. if you time a sh'ed cape right, you can sometimes reflect both lasers. Even if you don't if you cape, should be able to respond after you get hit by the second one before he can jump again. (assume the caped one hits him) Also, I've had decent luck simply caping and shielding right away--i seem to powershield that second shot like 30% of the time
3. grab the ledge--it you are hanging off, he can't hit you. This makes him approach you, meaning at best you can ledge-hop b-air him for a quick gimp. If not you can still get him with some attack (if you are confident with your ability to tech, you can bait a d-air , tech and upB really quickly. That's really fun <_< (I love edgeteching now that I don't mess it up-- my current record is 9 f-smashes by marth in a row (in a real match), but I digress)
4. Just shield, and when he approaches hope he tries to drill shine you and messes up, as doc escapes that kinda easily (compared to many other character)
********************
Also, more advice against falco:
CG as much as possible. If there is a platform above, just d-throw to rising drill, and continue comboing.
If they like approaching with drill kick, just WD back into a f-smash. Works really well. Or you can lightshield, and punish them if they jump after they shine.
If you are by the edge, just try and knock them off. Remember, the higher their damage the closer the "edge" is. Which leads to...
...When they are recovering, your n-air cuts through the phantasm. Good stuff really. Or ledge-grab->b-air. or simply f-tilt. I used to love the cape, but now I only use it if they are recovering at a diagonal--from below they can grab whether you cape or not, and they can tech the cape from an illusion and recover, though you can always then just cape->F-smash (WD->reverse f-smash if they phantasmed onto the stage, and thus could roll when they teched.
When recovering, recover low. You shouldn't fear his d-air, as if you are hugging the stage (or can smashDI so that the d-air sends you into the stage) you can easily tech it. If he tries to D-smash at the edge, it is also easy to tech. When you drop low he can't really laser or b-air you either, plus you get the possibility of stage-spiking him via down-B or your upB. I've yet to play a match against Matt.Zeb where this doesn't happen (even if I end up losing)
This being said, the matchup sucks. Falco should always be controlling the match unless YOU shift it into your favor, usually by means of messing up his lasers and combos. Have fun though, and hope this helps