what is error code -3403D?

I recently just purchased another refurbished 15" MacBook Pro (Mid 2010) Model with 2.66 GHz Intel Core i7, 8 GB 1067 MHz DDR3, and NVIDIA GeForce GT 330M 512 MB. It came pre-loaded with Snow Leopard 10.6. I upgraded to OS X Yosemite 10.10.2 and then I started having the computer randomly restart on me several times. I have gotten Kernal Panic messages once I could get the machine to reboot. I have read countless forums since and have heard that the logic boards were recalled some time ago. I have also heard that Yosemite could be the problem. I have no idea which is the exact culprit. I have wiped the hard drive 2 or 3 times now using the Recovery feature (Command R) and have wiped the hard drive. I have rebooted it and reinstalled OS X Yosemite. I also have a copy of Snow Leopard 10.6 that I have had for a few years now. I attempted to install it instead of Yosemite but it will not do anything. It simply does not work. So I contacted Mac Of All Trades (where I purchased the computer) and they suggested I reset the PRAM and SMC. I did both those things but the restarting still occurs. They also suggested I do a AHT (Apple Hardware Test). When I tried to do it pressing Option D, it started an internet recovery process and asked me what WiFi network I wanted to choose. I chose my network and entered my password. Shortly after it gave me "apple.com/support -3403D." Does anyone know what that means? It also will not run the AHT or Apple Diagnostics. I cannot figure out why or why I cannot fully wipe out my hard drive and install Snow Leopard 10.6. I cannot figure out why it keeps restarting and giving me Kernal Panic messages. If anyone can help, it would be greatly appreciated. Oh, and I also did not back it up on my Time Machine before upgrading to Yosemite (I know dumb!!!) but I used Migration Assistant to transfer my programs from my older MacBook Pro to this one using a Time Machine backup. Thank you again.