I have not seen this happen with my Focus PicoSure. My best advice would be to get right back in to see your doctor about this. Sometimes skin needs to be pre-treated and post-treated with skin lighteners (for example hydroquinone but there are others) prior to any laser....
You should be fine at two weeks post Botox. In the future, though, schedule your PicoSure first and then the Botox. My best, Dr. Sheila Nazarian @drsheilanazarian on Instagram
Based on your photos, it looks as if your best bet is going to be the PicoSure laser. It's currently the best on the market working 3x faster than all other lasers. It's also ideal for all skin types and tattoo colors. I would try to find a practitioner that has the PicoSure device and schedule...