If I had scalp micro pigmentation a week ago is it ok to drink alcohol with out risking the pigment fading away?

You cannot buy lidocaine in general.  There may be very weak formulations on the Internet.  You should consult with your doctor.

Overdosing or over use of lidocaine can lead to death.  It is best to discuss your question with your doctor.

Numbing creams do not work on thick scalp skin. You should ask your doctor about anesthesia as each doctor may have their own recommendations. 

PRP treatments are ok after SMP, I would wait 2 weeks however, just to give enough time for the pigment to settle in and for your scalp to fully rest.  I would avoid the dermapen, It may cause inflammation to the scalp and affect your SMP results. 

Scalp pigmentation or any other name it goes by is using inks or pigments applied to the skin. Unlike traditional art tattoos coloured pigments are not used but instead a black tone in varying degrees of deepness. The skin characteristics and sun will certainly have an affect on how long the...

Scalp pigmentation is not permanent. The pigments used and the application of the pigments is different to that of a traditional body art tattoo. The scalp tattoo will gradually fade overtime as the pigment starts to fade. The environmental exposure can increase how fast the pigment fades as...