I have taken 4 antibiotics for sinusitis and still have the symptoms plus fatigue, chills, and gree and yellow slimy discharge from nose.

Specialist: Many sinus problems start with different issues. It may be an anatomical problem, an obstruction, or something like a polyp . Or it may have a strong allergic component amongst other things that antibiotics will not help. My suggestion is that you see a specialist and have the problem investigated at many levels.

Ct scan of sinuses: At this point get ct scan of sinuses. See if you can get culture of the mucus. See if you have underlying allergies contributing to sinus disease

CAT scan: After 4 antibiotics, it is time to get a CAT scan to determine the location and extent of your problem. I always stress that you need a documented diagnosis before adequate treatment is given.