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You might want to try https://www.iresq.com. (888 447-3728). They repair ipods and other electronics. I have used them in the past and they have done a nice job.
There is only one female pin insert which is needed in order to play music with the cassette deck adapter.
Use the charging cable you currently have, purchase a 1 dollar USB/cigarette lighter adapter from the Dollar store, plug the adapter into the lighter socket and plug the Ipod into the cable. It will charge the ipod while you drive and you will no longer have to worry about keeping the Ipod charged. At the very least, you can use this as a stop gap until you get the unit repaired.