IO think it's quite important to see a doctor to get checked out, and get proper treatment for it if the doctor thinks you need it. Could you make an appointment and take the soonest one that's available?
Though I can understand the concerns about having your licence taken away, they tend to try to let you keep it if possible, unless it's necessary for your or others' safety. They'll probably just want a doctor to check- it's what I had to do and when a GP signed off the form saying it was fine for me to drive, I was able to get my licence.
Im glad you are going to go see a doc beth, i know it has been said but its really important.
I too get pretty bad dizzy spells (though i know the cause) and it can be really dangerous. I travel a lot alone, and the other day collapsed in the middle of the road while crossing in the city. Not good. So please make sure you can see your doc and get it sorted especailly if you drive.
Let us know how you go
These dizzy spells do sound a bit worrying and it is really important that you go see a doctor as soon as possible.
If getting an appointment is a bit of an issue have you tried http://healthengine.com.au/. It's a really good site that shows you your closest G.Ps and shows available times.
Hope that helps!
Seen something fantastic on the forums?