Alright here is the scenerio.

Taskmaster has one action token and pushes to use his team ability, mimic'ing shield team to pump up ultrons damage, then he pushes doing that and gets enchancement. Can I also enchance the damage since he just got it from the push?

no, b/c push damage happens after the action is taken.

Rob's got it right.

What if I had a taskmaster on his enhancment click sitting
next to Ultron at the time? He would have no action tokens on
him of course. Would Ultrons EE deliver 2 extra clicks based
on the SHIELD and Enhancement?

Yes.