Is anal and vaginal bleaching safe? And is it safe to get laser hair removal on these areas after the treatment?

I can't speak on what that salon does for lightening treatments.  But my practice does have a treatment for vulvar lightening.  It's non-invasive and safe.  We use dermoelectroporation in combination with a specially formulated collagen serum and vitaminC cream.  Dermoelectroporation is transdermal delivery of large macromolecules such as collagen and vitC cream deeper into the skin using the skin's water channels.  The treatment is once a week and you apply the cream every day for 8-10 weeks.  It's not bleaching or the use harsh chemicals and the results are longer lasting.