I would probably vote for walk too. Couple of items.
The battery is cooking as your problem is related to charging. Otherwise, once the airplane was started, electrics would have probably functioned properly.
Logs to 2002, no, this is not acceptable. Your AME would have to rebuild them from scratch. Household Carpet, hmmm whats next, stove bolts from Lows to hold the wings on?
A truly well kept airplane is one that the owner is meticulous about the paperwork and practices. I could have used automotive leather and carpet in mine, but guess what...I didn't option for aviation products. Same with repairs. The crop-duster mechanics I was using often would get frustrated with me when I said...NO, no baling wire please, order the certified part.
But when I sold the airplane and the buyer looked me in the eye (and whomever he flies with in the future). I know I did everything in my power to make the airplane 100% airworthy.
I too would encourage you to can the deal. ESPECIALLY if the log issue was not brought up from the git-go.
