I just finished a course of clindamycin
for a tooth infection, and as FTB4 said, it does
not interact with levo. Listen to his advice about the probiotic and/or yogurt. Clindamycin messed up my gut worse than any antibiotic I've ever taken (which isn't many).
Also, is your sore throat and runny nose due to a bacterial infection? If it's due to a cold or the flu, both viruses, no antibiotic will help it. Antibiotics kill bacteria, not viruses.