Chosen Solution

My Macbook pro crashes during sierra installation. I took the hard drive out and installed it on another mac but the problems continued after I put it back in the machine: pictures below of the kernal panics;

Could this be GPU or CPU failure?

This sounds like a bad HD SATA cable. Here is the IFIXIT guide you’ll need to follow: MacBook Pro 13" Unibody Early 2011 Hard Drive Cable Replacement

Well? Did the new SATA cable fix the issue?