...are short bows alot more touchy than longer ones?
You're most likely going to get a variation of answers on that one, but for YOU, I would say yes.
You mention finger pinch (which is common with folks with longer draws and short bows) and it's "touchy" to shoot. Your form and release has to be near flawless for precise accuracy (at least for distances past 20 yards).
It seems you gave all the arguments in your post to get another bow (pinch, touchy, twisted limbs, poor groups sometimes)...and that's what I would do. Also, your string should be closer to 42" for that bow, so your brace height is probably too high.
I have a 28-29" draw and have no problem with bows in the 52"-54" range, such as Steve Gorr's Cascade bows as well as Black Widow's PSR.
Short bows are great and convenient for the stand and blind, but too short can be detrimental. Good luck...