While you can still get a breast augmentation and then get your teeth fixed, I recommend getting the teeth done first. There is a bit more risk to implants with bad teeth or having implants and getting the dental work done after the implants are in place.
You might ask your doctor to be more specific about the "bad outcomes." Also, if possible, be off your medication for about a week prior and a week after your surgery. I had had several patients on the same and similar drugs you did very well with surgery.
Yes, it is always safer to have an anesthesiologist sedate you while the surgeon is busy doing surgery, unless the sedation is with oral medication. I would suggest asking more specifics about this sedation. Most surgical facilities do require anesthesia to be present, either nurse or doctor,...