I think the best thing you can do is take a break for a while. You say that irritation usually goes away after a rest and that isn't happening, and then you say that you've had sex every day for a month. In any case, I think you need to take a somewhat longer break, and just apply an antibiotic like bacitracin. I advise as well that you set up an appointment with a dermatologist or urologist in a couple of weeks, so you can get the skin checked in case the skin doesn't heal completely. However, I think the discharge is just from irritation and will resolve on its own. Then when you resume sex, lubricate more and perhaps keep the sex sessions a bit shorter.
Take care.
Dr. Rockoff