no, you do not need additional ground pins. pin 15 if for iphone and itouch; the ipod video has no such accessory mode. sounds to me like the problem is more likely to be in your amp's grounding scheme. pretty much all the ground pins in the ipod are connected on the motherboard, except for serial ground and USB ground,
sounds like your amp either doesnt have isolated RCA jacks and there is a ground loop connected through the case, or earth/safety ground and signal ground are directly connected somehow.
anyway I suppose it could be a borderline short or other problem with your work on the DIYMOD, too many variables for me to know for sure, but hopefully these educated guesses are of some help for where to start looking
good luck