I can't see much in the way of troublesome twist from the photo's, What I do see is the deflex in the right side limb due to the handle.
"If I wanted to fix this, should I use heat to twist the limbs?" Dry heat, on a reflexed form would be ideal to correct the limbs, and make them more evenly balanced. I would not try and use heat to bend the actual handle itself. Its too thick, and you would strongly risk splitting the transition of the fade/dips.
I wouldn't do much bending at the kink, but rather get the intended effect along the whole length of the limb.
"Or can I work on trimming the back of the handle itself?" I would never advise that. It could work but you risk cracking even with a supposedly non bending handle.