Pain in the back of my left ear going down my neck should i get checked?

You need checkup: This could be a muscle strain or an ear infection or it could be a dental problem. If it has been going on for more than a week, a checkup is in order. This time of year is a good time to visit the dentist, to squeeze out any coverage you might be leaving on the table. (if you are lucky enough to have dental.) i hope the pain mysteriously vanishes but please get checked if it doesn't.

Yes: It could be muscular, odontogenic (tooth related), neurologic, otic (ear related) or possibily tmd. Talk to your family doctor or dentist if the symptoms persisted.