If you are sure that the mattress and pillow are all right and not made of some fibre you have become allergic to, I would suggest while you wait for an appointment with your doctor, changing to unperfumed allergy tested washing powder or liquid laundry soap and not using fabric softener.
I would also dust the bedroom thoroughly every second day and air it well every day.
House dust is a very frequent cause of this kind of discomfort.
Instead of drinking that extra glass of water near bedtime, drink it, or preferably two much earlier in the day, at a time when you are not going out, so you are within easy reach of the bathroom if the extra water makes itself felt. If it doesn't you certainly needed it.