I am not an expert in the field, but I can answer to the extent that I know.
As far as I know, a Biomedical Engineering degree is a very strong degree at the time. This is due to the fact that medical devices are on the way to develop more and more, and biomedical engineers are experts in developing new machines for facilitating the treatment in hospitals.
Regarding the master's degree or the doctorate degree, it is not a requirement for getting a well-paid job ($65,000/yr basic salary). However, a graduate degree help you understand what you are doing in more depth. It may increase your opportunities in one aspect, but limit them in another. Overall, it is up to you. If you need the money, then I would recommend getting a job and then deciding weather or not you are interested in more research.
I hope this helps, and good luck in your career.