I'm allergic to Erythromycin-anaphylaxis Clindamycin- anaphylaxis Bactrim- rash Sulfa drugs- rash can I use polymyxin b sulfate eye drops?

Yes. Polymyxin is an effective anti-bacterial. You could use it without the allergies popping up as it has with others. However: are you sure you need this drop? It seems as if you are using an antibiotic for every eye inflammation, most of which are probably not bacterial. And in so doing you have sensitized yourself to antibiotics that you might need for an actual infection.