Have cyst on my face in the mustache area. Can this cyst be surgically remove from the inside of my mouth? If not why? (photo)

You should see a plastic surgeon for this and some relativelt scar acceptable method can be devised after an exam. If you go from inside the mouth you need to go thouugh the muscles that make the lip move and this could have consequences worse than an external scar. Another possibility would be to put the scar right along the junction between the red part of the lip and the lip skin (called the "vermillion border"). The lip skin could be lifted and the cyst shelled out. If there is a little volcano opening on the cyst this might need direct excision.