Not sure why you're tilting grounded Doc below 28% (or whatever)
You should try to combo your aerials (especially weak ones) into grabs at low percent rather than dash attack
Combo with u-tilt at low percent more (especially out of throw)
You're worrying about the pills too much in general - moving under them is really easy and so is fairing them (and there's barely anything he can immediately do about you fading away with fair on a pill)
Looks like you're trying to force hits with dash attack a lot in general
Beating his dair out from below is hard - I find the only move that really gave me consistent results was bair
If you fail to crouch his jab stuff (as a result of being in the air or such), try to jump it - you can often jump out of jab > grabs and jab > d-smash
You're kind of weak on edgeguarding. When edgeguarding mid & low height Doc, keep in mind that Doc doesn't handle invulnerability well so start by getting more comfortable grabbing the edge. You're going to notice that he can sometimes make it with airdodges and such - there are a few ways to combat this. Ledgehopping in front of him and bairing into something can work. You can also get in front of him and nair - the strong hitbox is a lot easier to hit this way (than bair). Sometimes you can combo off weak bair into a more guaranteed kill though so use your best judgment. On higher recoveries, stalk his landing area. You can also bair through pills if he recovers with them and try to hit him (pretty good in my experience).