Your pictures demonstrate that you probably have what is called 'accessory breast tissue' under your armpits. This can be dealt with by liposuction, direct excision, or a combination of these techniques at the same time as your breast reduction. It may leave you with an additional scar where...
The surgeon will try to keep the veins intact as much as possible but if it is unavoidable, they are sometimes tied off. There are multiple levels of blood supply so these can be selectively tied if needed.
Proceed with caution. Each additional procedure makes symmetry more and more difficult. We would have to discuss specific concerns to come up with careful solutions.