It is likely that these pimples have a bacteria component to them and therefore it would be a possibility that you would have a higher risk of infection in the fat injected if one of these were in contact with the injected fat or injection site on the skin. If you really want a BBL, I would...
First, tanning is not good for you because it can promote premature aging of the skin and also skin cancers. If you have to tan, then I would suggest to wait until you have healed and then cover your incisions with sun block or tape to avoid hyperpigmentation of the scars.
Thank you for your question. After a BBL patients can return to light activities almost immediately after surgery, normal activities 2 weeks after surgery, and vigorous exercise 4 weeks after surgery. We usually experience a slow steady improvement for 3 months or so after surgery.