Sorry, only one problem per post.

The FD cable is probably too tight in high because you have the cable trim a bit too far outboard, then are use the high gar limit to keep the FD from moving out as far as it want's to. Start by taking the tension off (shift to low) and backing the limit off. Then adjust cable trim correctly, just enough to shift smoothly and so the cage outer plate barely clears the chain in high (smallest rear). Finish by bringing the limit in so you cannot overshift and dump the chain. Test for this by pulling the cable away from the frame, rather than using the levers.

When you're finished, shift to high, and there should be a tiny bit more outward movement possible before hitting the limit.

As for the noise on the inner ring. Rubbing the outer isn't rare when coming from the outer rear (ie. crossed), but shouldn't happen except for the outer one or two.
Otherwise, use your eyes and look for any rubbing and see what you see. If there's no rubbing, but you still get some noise, it might just need some break in.