iPad 579C-A1822 restore error 4013

Hi,

I'm trying to help a friend fix his iPad that keeps showing the Apple logo that blinks every minute or so. I tried both Update and (factory) Restore of iPad 579C-A1822 using latest iTunes (12.10.10.2) on Win10 and I keep getting this error 4013. Pressing Power and Home button I get the apple.com/ipad/restore logo (with cable) on screen and device appears to communicate with iTunes. The little progress update circle on the iPad seems to stop at around 4 or 5 oclock and hang. I've tried changing cables and using different USB ports on my laptop but keep getting this error message over and over.

I noticed that the iPad has what look like small holes at the top and rear center - are one of these a reset button? I don't want to ruin anything by pressing it with a paper clip is why I'm asking. Appreciate any guidance you can give here ? If I need to go to an apple store to get this fixed can someone please give me an idea what it will cost ?

Thanks

Chris