I would give it 6 months. 4 months might be ok if your body heals fast. SMP is great camouflage for any scar, if done right, scar won't be detectable.
The amount of hair you report losing is in the normal range but based on you having said the Derm doc thinks you have "AGA with maybe TE", that would indicate a greater than normal amount of hair loss. Best I can say is that you need to see a hair restoration physician to help you sort this out...
The pigment color and size is dependant on dilution of pigment and application by technician, and should be done carefully especially at the hairline. if the appearance of the SMP is not to your satisfaction you can likely have it removed by a laser tattoo removal device. Good luck!!