The answer to most of your questions is "yes."
Fine needle aspiration biopsy, unfortunately, does not always accurately rule-out lymphoma. Therefore, if your doctor is concerned that you might have lymphoma, then an open lymph node biopsy may be appropriate.
Sincerely,
Robert A. Wascher, MD, FACS
www.doctorwascher.com
Author, "A Cancer Prevention Guide for the Human Race"