The whole of what you describe is a new one for me. I wonder if you are just so badly positioned on the bike that you are putting up with little annoyances that maybe you shouldn't be putting up with.
However you should find out. While you are waiting to get to your doctor or physical therapist, which are good suggestions, you might just want to go with your bike to a bike shop and see what they say about your position and fit on the bike.
If you just started riding a bike there might be some of this that is just getting use to it. But it seems there must be something else amiss too.