For me, Steam just came back on line about 20 minutes ago. Try verifying files again. Delete one of the files in the Railworks folder (one you don't care too much about) see if Steam reaquires it.
The other thing, to me anyways, is how did you both transfer files from the old PC to the new one? There may have been files in use that couldn't be transferred, like Windows or some of it's "dependencies".
If you still have files intact on the old PC's there may be a way to get the new ones up and running, but, you may also have to reinstall Steam, then all your games, including TS2014.

Ryzen 7 2700K, Asus Prime X570P, 32Gb DDR4, 2x 1Tb M.2 SSD's, RTX2060 6Gb, Occulus Rift
Win 10 Pro 64bit, keyboard/ mouse/ wheel/ pedals/ baseball bat
Security Coordinator on the Battleship Iowa