Swapped hard drives in two (nearly) identical laptops and one won't boot

I love my laptop so much I bought one for my son to use for school and light gaming with Minecraft. In all honesty it's too much laptop for him, but I got a great price. The one I bought has a few nicer features than my old one (a 3D screen and a Blu-ray drive) but otherwise they are identical machines. I wanted the nicer machine for myself because my son is just 11 so I swapped hard drives, thinking the drivers for a Blu-ray and a 3D screen wouldn't keep it from booting, and the old machine booted with the hard drive from the new machine in it, but the new machine (the one with the 3D screen) will not boot and won't go past the screen where it asks you to choose UEFI or Legacy boot. I'm not sure how to get past this, since even if I put the hard drive back in the old machine and downloaded the 3D driver, I'm not sure it would stick. I really don't want to have to wipe my hard drive. I mean, it's just a SSD and all my data is on the other hard drive, but I would like to avoid it if at all possible. I should probably also mention, the old machine was running 8.1, the new one 10, so when I swapped the drives, we're now running 10 in the old one and attempting to boot the newer machine in 8.1. Not sure if that makes a difference at all, just thought I would mention it. Does anyone have a suggestion for me to try to get this thing to boot?