I couldn't find any reference to there being a limit in the rulebook, but I might have missed it.

For instance: Luke Skywalker is in play and during the draw phase, I draw two "trust your feelings". Can I play both on Luke as long as I can pay the resource cost?

I believe you can have as many copies of an enhancement on a character as you have available, providing it is non-unique and doesn't specifically say "limit x per character" or something similar.

You can indeed stack multiple copies of the same enhancement on the same unit. Yoda, for instance, would love having two lightsabers (as long as he doesn't get Force Choked by Vader…).

dbmeboy said:

I was playing against a buffed Yoda such as this just the other night, Luckily my Boba Fett won the Edge Battle by 1 and got to capture him first. Else… that would have hurt.

StarDuster said:

Nice. Granted Fett would have just killed Yoda anyways so the capture part hardly matters. Come to think of it… I'm not sure how the timing on Fett's reaction works when the damage would destroy a unit since destruction happens immediately. Perhaps Yoda was actually dead before he could be captured? (Edit: rules question submitted on this one… I hadn't thought of it before and I can't find a clear answer in the rules)

dbmeboy said:

That's because there isn't a 100% answer in the rules for that situation (to my knowledge). It didn't come up for me (this time) as Lightsaber Deflection came out to kill off one of my shielders for his next attack. However, we have been playing it as a unit hitting it's max value is instantly dead (sans damange preventing cards such as Lightsaber Deflection).