I too facing the same problem. I think its the hormones that is to blame.
Before that I too didn't have any of these problem. I still go for my facial and I will always remind my theapist that I'm pregnant and the treatment I'm doing is the very basic cleaning and unclogging and moisturising of the face. From what I know is, as long as no machine is used on you and they dont't anyhow message the accupuncture point on your face, facial shouldn't be much of an issue.
Drink lotsa of water and keep cool and avoid foundation.
Keep your hair away from the face and try using luke warm water to wash your face.
Facial is a temp solution only. Cos the clogging comes back 3 days later.
I'm also hoping that my skin will clear up after labour.
Stay positive and happy. It will help a bit..