my main concern is muscle tightness that comes and goes on the right side of my neck and along with that the tingling feeling I get in my right arm. All this started about a week ago.
Hi
Welcome to the forum!
There is a chance that what you press is the sternocleidomastoid muscle. This is the muscle that comes into prominence on the side of neck when you turn your head. If you have TMJ and you press on this nerve, you can get dizziness, especially if the muscle is inflamed and the inner ear is involved.
Also if you press on the carotid artery, by applying a little more pressure than necessary, you can get dizziness.
The third possibility is compression of the cervical spinal nerves, which can cause dizziness, especially if you press on the nerve that is being compressed.
Please discuss this with your doctor.
It is difficult to comment beyond this at this stage. Please let me know if there is any thing else and do keep me posted. Take care!