(Jail)broken ipod 4 stuck in boot loop
I have an Ipod 4th generation with ios 6.1.3, and it is jailbroken. Also, my power button stopped working when my screen was repaired. Now my ipod is stuck in boot loop (an apple logo comes on the screen, then nothing). Finally, I am sure the warranty has voided (I don't remember the exact year I bought it, but it was before 2009, and I dropped him multiple times, having to repair the screen) and I don't have any backups of the ipod.
Is it, in any way possible to get the devices data backed up on my pc, so I can factory reset him, but keep my data? I tried some programs, but none of them even recognized my ipod as being connected (I can get the ipod in recovery mode by holding the home button for long enough, but my pc does not recognize the ipod, and I already re-installed itunes, with no result. Could this be the problem?)
If you know a solution or something I can try, I would be very happy
EDIT: I just managed to get itunes to find my ipod as in recovery mode, so do some of the programs. More hope