Not mentioned...have you tested the motor? Or the drive? Disconnect motor at the drive. Then test line-to-line with a milliohm meter, then test line to ground with a megger at 60 seconds, 500 V test voltage. If you have a pdMA or a Baker just do that instead, I'm just giving you the common tools you should have if you work on motors and drives.
Milliohm readings should be less than 3%. So add together, divide by 3 and write that number down. Then subtract each of the individual readings from the average. Multiply by 100, divide by the average. Get all 3 numbers. Drop the sign. Take the highest one. So if we have say 10, 11, 12, the average is 11. The unbalance numbers are -9.1%, 0%, and +9.1%. Take 9.1% as the %unbalance. This test looks for shorted turns and/or loose connections.
Megger reading should be at least 5-10 Megaohms minimum. Watch as you get the reading. If it's bouncing all over the place, you got a moisture issue. If it's just low, its either dust or failed ground wall insulation.
Do NOT use a multimeter for either test. It has neither enough current and no Kelvin clamps for the milliohm test, nor enough voltage for the megger test.
If it fails either test, unwire motor and test again at the motor itself (is it coming from the wiring or the motor?) As you unwire it pay close attention in case you are just fighting a problem at the motor connections themselves.
If there are issues with a motor, it will drive VFD's crazy causing all kinds of goofy errors. The faults you mentioned are both pretty common for either connection issues or failing/marginal motor issues. Usually this is just early warnings that the drive is failing.
Along the same lines as JRaef mentioned you can check the DC bus yourself. Don't trust the VFD. Just take your multimeter and carefully put your meter on the "DC+" and "DC-" terminals. Set your meter first to DC and verify that the drive is reading the correct DC bus voltage. Then flip it to AC and check ripple on the DC bus...should not be more than a couple Volts at the most and thats when it's changing speeds. Anything bigger than that and you got serious issues. When you do this test on a lot of drives you need the probe covers in place so only the tips of your multimeter are exposed. This test should do two things. First if you have a bad rectifier you will see DC bus ripple is high. Second is that if the readings are off even a little compared to what the drive reports, you will know that you have a bad sensor system in the drive. If you have an oscilloscope this goes a lot faster and the exact drive issue will be a lot more obvious but again that's a fairly expensive tool not everyone has.