Since you have several potentially faulty components, one suggestion I have is to buy a broken iPod of the same type on eBay or other online source. Buying a complete non-functional monochrome 4th gen iPod is often less expensive than finding a vendor selling the specific part (and those parts are usually used parts scavenged from broken iPods). Fortunately (for you), most broken iPods with a hard drive for storage are broken because of a bad hard drive. So, find one that is NOT described as having a bad dock connector or headphones jack, and chances are good that you'll have the parts you need. Plus, you'll have a bunch of other spare parts (like maybe the logic board and display). If the one you get is in better shape overall compared to your iPod, except it has a bad hard drive, you can even swap your working hard drive (and new battery) into it and use your iPod as the "parts donor" going forward.
I did this with 4th gen and earlier iPods about ten years ago. I wanted to see if I could swap parts and get some working iPods. Here are some tips.
- Avoid buying from a seller who looks a business. Often, that business is a buyer of used and broken devices, and those iPods have been scavenged already for working parts, so you might get an iPod that is assembled from bad parts. So that "Lot of 5 iPods" is often not such a good deal.
- Look for a seller who looks like an individual person trying to sell their own non-working iPod. These are more likely to be broken for a single reason, like a bad hard drive, and in decent shape overall. And you'll sometimes get extras, like a docking cable, power adapter, case, etc.
- There are two basic types of 4th gen iPods with monochrome screen. Thick and thin. The thick model has a higher capacity two-platter hard drive, and the metal half of the casing is larger to accommodate the larger hard drive. The front half of the iPod, connected to the plastic portion of the casing, is interchangeable between thick and thin 4th gen (monochrome screen) iPods.
- The color screen 4th gen iPod is significantly different on the inside (it's not just the screen). I don't have one, but I recall that even the connector between the logic board and headphone jack hold switch assembly is different. I believe the only internal parts you can swap between color and monochrome screen iPods are the battery and hard drive.