Hello,
This does not looks to be related with tooth problem.This problem can be one of the following-
-Sprained neck
-Cervical spondylosis
-Prolapsed disc at neck
You should at least have a
x ray of neck.
Take a good anti inflammatory
analgesic.
-Avoid strain at neck.Better to avoid push ups for few days.
-Do warm fomentation at neck with warm packs.
Hope this will help you.
With best wishes.