Information on cellulitis front sprained ankle. Recuperation time. Treatment besides antibiotics, elevation and ice?

Have it evaluated. It is not common to get an infection due to an ankle sprain unless there is an open wound. If indeed it is infected you would need antibiotics to treat it. Rest and elevate your foot.
Sprain. Complete resolution of the infection first. When this is gone start rehabbing ankle with range of money, proprioreception movements and muscle strengthening exercises. They can be found on the internet. It may take several weeks depending on the severity of the sprain.