To change the subject just slightly... It looks like the PB360 used the same screen assembly as the Sony PRS-300. If the problem was in the screen assembly, replacing these are relatively cheap (about $20 to $30). You could probably go even cheaper and buy a PRS-300 and use it's screen (these show up all the time on Shop Goodwill, sometimes in lots of two or three).
https://www.ebay.com/itm/29361774324...evt=1&mkcid=28
https://www.ebay.com/itm/35263715145...sAAOSw0~Rcqhd9
I don't know if the screen is where these usually broke down, however.
EDIT: Just realized that these screens are from China. But (like I mentioned) you can buy a Sony PRS-300 and take their screens. Here's a listing for five of them (with a PRS-505) on auction at Shop Goodwill.
https://www.shopgoodwill.com/Item/125092965
Shop Goodwill has them all the time. There must have been a "billion" of these built.