For voltage readings to be too high - that is worrisome.
If the 1k fusible resistor popped, the 1.5k PTC might be damaged, or the 909k resistor for mV and V. I'd guess it was overloaded on ohms or diode-test.
The diode/transistor clamps are switched-in for ohms and diode test functions.
On DCV the Fluke 87 is relying on the 909k input resistor - so leaky clamp diodes/MOV/transistors etc. I don't think can make it read higher?
I would check pin 2 AGND compared to input COM(-), the analog DMM IC has a few grounds. I would check the 1.235V reference near pins 1,3.