I had my wisdom teeth removed only 4.5 days ago and the dissolving stitches on one side of my face have already fallen out?

You may have dry socket. It is common to get dry socket a few days after an extraction with excruciating pain. As your dentist or surgeon to evaluate the area for dry socket.

You can eat almost whatever you want so long as you're comfortable. I wouldn't eat anything like chips or nuts that can break into small pieces and get lodged in the sockets. If you're feeling ok, you should be fine to move on to more solid foods.

You appear to be healing well. Placing molar bands in that area shouldn't be a problem and won't affect the healing.