Hi seahorsemusic, Pretty screen name...Welcome to healing well forum. It is very difficult ending a long-term relationship; we have all been there at some point in our life. You have received some excellent suggestions thus far, what I would add to it are that depression even situational depression, which is temporary or short-term, can bring about illnesses as you have described. I would most certainly speak to your physician regarding this matter and have a physical done to rule out any health problems. Perhaps, a light antidepressant for a few months to help get you over this hump would be in order but that is up to you and your doctor to decide if that course of treatment is appropriate.
As for your job don’t worry so much what your co-workers are saying as I am sure that these people are the ones that most likely gossip about everyone and their opinions and comments may not be taken into consideration as deciding factors with the higher ups. If your supervisor has not addressed a problem about your attendance with you then I would not stress on the possibility of loosing your job. I understand that this kind of situation does make for an unfriendly environment for you to want to go to work in everyday.