When can I start laser hair removal after rhinoplasty?

Some of this will depend on whether you had open or closed rhinoplasty.  I would recommend not doing these treatments to the lip for quite a while.  It would be like getting sunburned right after the rhinoplasty.  It may not make much difference, but I would wait.

Dying hair on your head will not be a problem. However, I suggest you wait another few weeks before lasering the upper lip area.

Good luck!