It does sound possible but autoimmune diseases like Behcets can take a long time to diagnose and it's often by a process of elimination and ruling out the simple and more obvious/likely first.
Diagnosis for these kind of syndromes can also require a time period showing patterns of symptoms so it can take time for this to be shown and medically evidenced.
Keep a diary and pictures so you can show anyone you are referred to evidence of the ulcers and spots, especially if they aren't present when you see someone (often the way).
Try not to compartment your symptoms though and fit the diary to a condition, log them as they are generally.
Some people are prone to bacterial flare ups like ulcers and boils. I have recurrent ones in my groin, especially when I'm coming down with something and they looked at more common causes first like diabetes, hydradentis superativa, PCOS etc...
In the meantime just make sure your hygiene around affected areas is spot on, antibacterial body washes like Sanex or Carex are good and bacterial killing mouthwashes, flossing etc... and making sure you keep the groin area from getting warm or sweaty eg looser clothes and cotton underwear.
If you have a gynae appointment then ask them about the possibility as they should be able to refer you internally if needs be (my rhumatologist referred me to gastro internally when they suspected my arthritis could be caused by Crohns or similar).