I want to get a tattoo removed on my neck and I have a plastic surgery appt scheduled for January 11.

Thank you for your
question. Having tattoo removal will not interfere with your breast surgery.
Remember it takes a series (6-10) of sessions to remove a tattoo. Make sure you
are being treated by an expert physician using the correct lasers for your
tattoo. However, this being said you may be more comfortable waiting till after
your surgery to start laser tattoo removal. Best of Luck!

The tattoo is on your neck not your breasts.  I would say it should not matter doing both around the same time.  That being said, you may be sore after your breast procedure and not want the added discomfort of the tattoo removal.  Tattoo removal will take several treatments spaced months apart.  This is not a quick process.  I would consider waiting until my breasts were healed and then doing the tattoo removal as you may not want to add to the discomfort of your procedure but doing both together should not make a difference