Likely too late for your inspection today, but as was said, check for leaks, look for grease in places where it should have been regularly greased (grease zerk = grease), check fluid levels and make sure they don't look filthy. Diesel engines turn oil black fairly quickly, but it shouldn't be gunky. Drive it, try the PTO to make sure it at least spins, and if you can't try digging into a pile of dirt or gravel, at least slowly curl the bucket and use the loader to raise the front of the tractor up. Working hydraulics will do that without issue. Raise and lower the 3 point hitch to make sure that's working. There should be a drawbar. As mentioned, check for bent loader parts, and make sure the SSQA levers are working as intended. Based on the photos, everything looks just fine...
Hopefully, the oil filter will have been changed with the oil at 50 hours then every 100 hours (or, I think so for this tractor), and the change date/hours will have be written on it- one way to tell if maintenance was performed. Not sure, but maybe the hydraulic filters (two) have been changed, although the fluid is good for 400 hours (filters get changed earlier, to remove any particles from manufacture or initial wear). The operator's manual was shown in one of the photos, so a few minutes reading that should give you an idea about what service was to have been performed.
Spend some time looking over the instrument panel and the information it shows (which is a lot more than economy tractors), and check out the auto-throttle operation if you can.
