Bios update fail | Latitude E5520

Hello All! I am a bit inexperienced and new to the forums and am seeking help. I have been using a latitude E5520 for a few years now and have been very happy. About a year and a half ago, my hinges broke and slowly my laptop has been dying. I recently purchased a refurbished identical laptop with the hopes of just moving my SSD, RAM, Processor over and It would all work the same. Once I put my SSD in the new laptop, it would boot, but turn off after 10 seconds and I could here the fans going at full speed before it died. After doing some research, I figured I would update the drivers and BIOS to get the current laptop config as close to my old laptop as possible to increase the likelihood that the SSD would work properly on this other laptop. After downloading the FW and following the instruction, the laptop shut off and never came back up. The lights and keyboard attempt to turn on, but the screen doesn't attempt to turn on and it is making some small noises as it keeps shutting off and powering on. At this point, I would just like to get the new laptop working and forget about swapping parts, if anybody out there can help me, I would greatly appreciate it.