So, I have a stairway railing that wasn't exactly attached to the wall. Upon further investigation I noticed that there was a screw trying to attach the stairway railing to the wall but the screw head was completely broken off leaving just the screw body stuck in the wall. I bought a screw extractor and attempted to use it on the screw with no success. I even tried using pliers and tried using wd-40 around the screw to maybe loosen it up. I've tried taking a hammer and hammering a screwdriver in the screw and I have tried placing a steel wool in the screw opening and tried taking a screwdriver, placing it in the steel wool, and unscrewing but that didn't work either. Is there anything I can do to try to get it out of the wall?

I just closed escrow and moved in to first home. Lots of repairs needed. Bathroom has Delta brand towel rod using "Quick Click" install btacket. The rod fell off wall--loose dry wall anchors. I cannot remove the install bracket from rod end. No set screw and uses Quick Click install bracket. How do you remove the bracket? Found lots of sites showing how to install but not how to remove. Please help