Are doctors of d.o. qualified to execute breast augmentation?

Answers:

Is he/she a board certified plastic reconstructive surgeon? If not NO.
He/she should be a member of the Society of Plastic and Reconstructive Surgeons. They enjoy a web site and you can see if the doctor within question is really a appendage.
Membership means the doctor have completed his/her residency is Plastic Surgery and passed their boards in that specialty.
You should see more than one doctor. Many plastic surgeons sub-specialize, or are remarkably good at a given procedure.

These days a D.O. and an M.D. are essentially one and the same, be more interested in the post medical school training.

Does this count as breast cancer?

you should other get an m.d. they are better surrounded by terms of training.

I gain over 19 pounds in a month whats wrong next to me?

A D.O. is an Osteopath. They are MDs. I would look for a surgeon trained in reconstructive surgery. Someone that has done heaps breast augmentations.