Device will not boot - what might I need to fix?

I have a 1st gen iPod mini. It is 4 Gig. Model A1051. The capacity is not printed on the back though.

We left it in our iPod Logitec speaker system (which also recharges the battery) too long. My wife brought it to me a while back after being connected to the system. It was not working, and the mini was hot to the touch. Not sure if the battery overheated or what.

The device does not boot now. I just hear the hard drive clicking like a stuck record. The battery is the original.

I am sure the drive is shot (unless it just needs a new cable). I know it could use a new battery. I am concerned the hard drive may not be the only thing needing replacement (due to how hot the device got).

I do not want to replace everything (drive, cable, battery, board) since I can get a new one for about the same cost.

I would appreciate any recommendations on how to proceed (fixing or replacing).

Thanks in advance.