Hello Thonatos,
Welcome to our little place where we discuss the rum.
As to your particular question, I am wondering whether the cork was just crumbly, in which case I do not believe there is any problem with the spirit. (Pusser's does smell quite a bit different from Lambs and I can see how someone might consider that smell to be harsh and chemically. ) I am concerned however with the term "moldy". If there was indeed mold on the cork, my instinct would be to believe that the liquid is compromised. I would not drink it myself in that case, as mold can be particularly nasty.
I know some will say that the alcohol will kill any nasties, but that is only a substantial portion of the alcohol did not evaporate. Your description of the cork leads me to believe it might have.
So if there was mold, don't be bold, as drinking it may leave you cold, just flush it down the hold.
Cheers!