Do everything your doctor says. Take the Antibiotics . As this area heals, I would apply vitamin E to minimize the scars.
Christmas of '05 my husband was diagnosed with double bacterial pneunomia. He was on life support for 4 days. The doctor discovered the souce of the bacteria was Legionnaire's Disease, which can be so deadly. Had it not been for the doctor giving him every Antibiotic known, he would be dead today. Legionnaire's responds to only one Antibiotic and had the doctor tried to treat it with only one antibiotic, he might have died. So, there is a time doctors and medicine are needed.
I can only imagine the pain you are feeling. I just about come unglued when I have a paper cut. The area in and around your fingers is a very delicate area.