The pushbutton switch that selects front or rear inputs is definitely broken. Not much of a problem if you use the front inputs only.
If it passes self-test and then displays a random voltage, it probably works OK. These units are well-designed and made, so I'd say the odds are good that it's useable. There is a 3V lithium battery in there that maintains calibration constants that could be at or near the end of its life though.
A couple years ago I bought two of these units, each for about 75USD + shipping. One was supposedly calibrated, one wasn't, but they (still) agree within 2 to 3 counts on DC volts, and also with a new Fluke 87V, so I trust them for my purposes.
I do question those sellers that say they can't test a multimeter. How much knowledge does it take to connect a 9V battery and see what it displays? Check the seller's history. If they've been selling baseball cards and coffee pots, then maybe they really don't know how to test it. But if they've been selling electronic test gear, then the odds go up that they know it has a problem and are just hiding behind the weasel words.