150uA @ 1k, 40uA @ 10k, 5uA @100k, 0.5uA @ 1M, 0.1uA @ 10M and 100M.
I don't know the actual current values produced by the BM257s meter, but the readings look legit to me (i.e. fairly round numbers).
If these are indeed the correct currents for the different ranges, and since VDC readings are good (which would indicate the input section of the meter is good), I would suspect someone messed with the calibration of the Ohms function.
I would first look to confirm those current values, though (someone here on the forum with the same meter who can quickly check?).
Also, would you happen to have resistors you can use in the different Ohms ranges to confirm if any of the ranges gives accurate readings?