Un treated abscess from tooth decay do not spread to adjacent tooth but infection potentially can spread to other area, this condition called cellulitis and that is a medical emergency.
Abscess from gum disease do not spread once you taken the right antibiotics.
To facilitate healing you should keep the area clean with tooth brushing, flossing, use mouthwash and finish the whole course of the antibiotics. It is also important to come back for the Dentist follow up, and provide any others necessary treatments.
If only minor correction is needed to make that tooth straight then the orther options can be Odontoplasty, getting a filling, veneer or crown to make that tooth straight.
To answer your question: If your jaw clicking is due to recent trauma, then an oral surgeon would be the best person to look at that.