Pulled shoulder muscle... Can it turn to chronic?

I hurt a muscle inbetween my neck and my shoulder, I think its called Supraclavicular fossa is an indentation (fossa) immediately above the clavicle while sleeping or while not noticing it during the past christmas.

As I had never pulled a muscle before I continued training, doing martial arts, some gym and alot of push ups. It was aching everytime but I could handle it, after a while I started doing less things with my right hand.

During this easter I went to different doctors and all told me to rest it.

I dont use it as much now and stopped all training but it still aches from time to time during the day, there are days that it doesnt ache at all but still it bothers me that it hasnt healed yet.

Is it normal to ache like that, can this injury become chronic, is it already?

I use that deep heat creme but dont know if its any good...

Yes rest is good advice. What's happening is you strained or maybe even tore the muscle a little. Every time you use it, it causes more swelling. The only way it would become chronic is if it heals badly and you get scar tissue. I would recommend a massage therapist trained in injury massage. They can help it to heal much faster. Plus it feels really good. I hope that helps and good luck!