The first one as you already know is an FTIR, From the picture there is absolutely no way to tell how much of it is there and functional. I would start by looking for a manual online, looking for a local precision instrument place for an opinion or getting cables that fit in the ports on the back and trying to connect them to a computer. These things can be finicky sometimes, they may need very specific or hard to find cards or hardware of something is missing.
The second picture is a gas chromatograph, it isn't a GC/MS unless you have a mass spectrometer attached to it which I don't see. The GC seems to be missing it's column, but that shouldn't be too hard to find. You will need very pure helium to act as the mobile phase if you plan to use it. You will probably need a new septum for the port and quite possibly other components if it needs repair. You will also need to attach it to a computer (same suggestions as above) and get a program to interpret the data (ie Excalibur.)
I can't tell what the third item is though I expect it is an immersion circulator with a temperature control. That shouldn't need uch but to be plugged in, though you could be in trouble if the element/refrigeration unit is shot.
The last item appears to be a vacuum trap, a vacuum pump being attached to one end and a vacuum line to the other, the Dewar is filled with liquid nitrogen or dry ice/acetone slurry. The cold precipitates solvents preventing them from reaching the pump, and the blue mesh protects the user in the event of an implosion.