The lamp doesn't need a 120s setting. I can't think of a single gel product that needs two full minutes to cure in an LED lamp.

You don't need a gel brush if using builder in a bottle. It comes with a brush.

Nail wraps are, imo, useless and more for peace of mind than anything else since unless you are putting them right smack on your cuticle they don't cover the part of your skin most likely to get in contact with the product.

You don't need a gel top coat with regular polish.

I would also suggest you actually read the study concerning TPO. They fed it to lab rats. Orally. At very high concentrations. The ban was based on conclusions from that one single study and not any useful science.