Your GP can easily order a sleep study. Snoring is very often also sleep apnea. You should have that checked into.
Sleep apnea can cause many problems when you're awake. It's much more serious than people realized.
I've heard of the soft palete collapsing. IT's one of the things associated with obstructive sleep apnea. It's treatable and doesn't mean it's ALS either. Zillions of cpaps are sold each year.
Is it possible that your tongue is what is moving up and hitting the roof of your mouth. They do that.
You're so hyper-aware right now, you're noting everything your body does. With mouth/jaw issues, my first stop would be a good dentist. While they are certainly not MD's, they are trained to note any abnormalities within the structures in their domain--which includes the tongue and jaw itself.
Jaw pain is most often TMJ--and it can be very, very painful. Been there, done that. To the point that I literally could not even open my mouth. My jaw locked. Took a shot to relax it at the ER.
Start with the GP. As for a neuro--if you're intent on seeing one--even a top rated teaching hospital didn't make me wait that long for an appt. Those kinds of waits are not usual in the US.
Good luck to you. As a last thought--one sided weakness should always be investigated, as mini-strokes can cause come and go symptoms--and they are ALWAYS a sign of an impending stroke. Not sometimes--but always if not prevented.