Do you have other sleeping problems?
Have you been having disrupted sleep before?
Are you anxious?
Do you feel daytime sleepiness and fatigue?
Do you find hard to fall asleep?
Are you experiencing weak urination?
Are you urinating too much liquid during a day?

If you have not had problems like this before, you may have a problem with your urinary tract, like a blatter infection, or posibly minor prostate problems that could be causing this. It doesn't sound like a major enough issue that you need to haul off and go straight to the ER or anything like that, so if you are in the process of getting insurance and will be getting it soon than it probably wont hurt you to wait a few more weeks. Also if you think you may have a blatter/urinary tract infection, cramberry juice or mixing water with a teaspoon of vinigar and drinking it helps.. it wont cure it but will releave it to a certain extent.

Any other health problems? diabets? Do you consume a lot sugar? Check it out?

This always happens to me after I have a bad dream. Is that normal?

Having a bad dream, usually, wake the person up, and she/he becomes aware of full bladder that results in need to urinate.