iPod touch 5th Gen Charging Problem

Admittedly, my 64gb iPod touch 5th Generation (original prior to newer model) is quite old (coming upon more than 5 years now). One recent evening, I plugged it into its lightning cable (Apple-made) to charge. Thankfully, I was standing nearby as I noticed the charging port was hot to the touch. I unplugged the device and noticed that the charger had partially melted. I know this is a problem quite a few have experienced. Now, however, the device will not charge. I bought a new lighting cable (not Apple-made, not that I think it would make much of a difference at this moment) and plugged it in. No charge. My iPod will turn on, but its lack of charge only leads to it immediately shutting off. All that will now show is the display telling me to plug it in and charge it. My question is: Can my iPod touch be fixed so that it will charge, while still keeping all of the data and memory on it? I know batteries can be replaced, but would that affect the memory on the device (I do not feel too inclined to say that it would, but asking never hurts)? Or would a replacement of the charger port alone be a sufficient fix? I realize that in the end, I need a new device that isn't so old. But I have a lot of pictures, videos, iMovie projects, etc. on it. I would rather be able to access these and put them away as soon as possible once the device can charge again. Then, of course, I would get a new device. Any ideas?