Oh please! A 7 year old PT, bought used, old battery????? 
I've got 2, two-year old PTs. Both with the original batteries. I run the CD player in
soonercruiser at cars shows for hours on end. Never a problem starting; even in the Oklahoma summer heat.
**At the first hint of weakness, I will replace the OEM battery...probably with an Interstate.
I have owned 8 cylinders, 6 cylinder minivan, and now the 4 cylinder PT (had a 4 cyl Voyager years ago too). If I wanted all that power (and gas usage), I wouldn't have a 4 cylinder car! What did you expect? ...but, the turbo GT vert gets up and goesssssssssssssssss!!