A classic Epson problem. I've thrown away at least 3 Epsons for this reason. Frequently, it's a dirty friction roller or rollers. Epson used to provide semi-sticky sheets of media for cleaning purposes and it *sometimes* worked. Other times, it's just plain infuriating. My $2500 4800 mis-loads from the paper tray frequently enough that I have to single sheet feed it.
Since you have nothing to lose, I suggest taking things apart. I was able to solve some issues on desktop printers by brute force, once I saw what was causing the problem.
Sorry I'm no help.