M.G.
Totally could be teeth clenching or grinding - especially if you wake up with it. I have had that and my neck wouldn't turn to one side. Your dentist can tell by looking at your teeth if you need a bite plate/mouth guard.
However, just to mention - I have symptoms as you describe this week because I've caught a horrible sinus infection and cold. My right side of face is tingly and itchy as if I had allergies. My ear if full and my teeth hurt to clench. That's being caused by sinus pressure. I don't have a runny nose - but I've had this before so went in and sure enough ...
It's going around here. So keep an eye on it. If it gets worse, just be sure you don't have an infection.