No, that's probably not necessary.
Yes, try to move it more to the middle. Although normally one hide on the cool side and one on the heated side will be enough.
Feed her like you normally do. If months goes by (or atleast 1-2 months) you could try live. Nothing to be concerned by after just one week.
It is very common for ball pythons to refuse food during the shed cycle. I do not even try to feed mine by that time. A 350gram ball python should shed once every 2 months.
I want to add that these are from my own experiences with my own ball pythons.