I had a Facelift three weeks ago, one side is more lax than the other. Will a lax place on my face tighten after a face lift?

Three weeks after a facelift some asymmetry is not uncommon. Without pictures it's impossible to comment on your particular situation. Sometimes the side it appears tighter actually has more swelling. In any event you should heal completely before passing judgment on the operation. This will be several months.

At three weeks post-op, you are most likely still
experiencing swelling. Asymmetric swelling is perfectly normal and expected
after a facelift. As for your mole, it really depends on where exactly it’s
located to determine if it should have moved or not. Most facelifts only
address the lower face, so if your mole is in an area that was not tightened,
then it wouldn’t have moved. If, however, it is located in an area that was
pulled, it should have moved a bit. Without seeing you in person with a
“before” photo, it’s impossible to tell if your mole should have moved. I would
be patient and wait another few months, and if you’re still unhappy with your
results, visit your surgeon for a follow-up to discuss possible revision.

I
understand your concerns about uneven results, but what you're seeing is a
natural part of the healing process. Many seemingly inane factors can affect
the amount of swelling, such as which side of the face you sleep on. It's
difficult to comment on the placement of your mole without seeing it in person,
but similarly, I would give your face more time to heal before worrying.

Of
course, you should always keep your surgeon apprised of any concerns you may
have, so that he or she can examine any areas you may be worried about in more
detail. But what you're experiencing sounds perfectly normal, and you may need
to wait a couple months before seeing your postoperative results without any
residual swelling. Thank you, and best of luck.