How to determine a Permanent Magnet Synchronous Motor (PMSM) Nameplate?
OK, I only have limited experience with these things. Not an expert. But here is what I think. What you are missing is some measure of torque, or any relationship between current and torque (this is just a linear constant). The VFD will need that.

Basically the VFD needs to know a voltage and frequency so it can figure out the V/F relationship. So pick an RPM level you consider to be the maximum normal RPM level. Call that nominal RPM. Calculate nominal voltage and nominal frequency at nominal RPM. This is the electrical frequency, in Hz, required to obtain the nominal RPM. Nominal voltage will be based on back EMF at that frequency. Nominal voltage should be RMS, not peak.

In the two or three VFD's I have looked at, the nominal frequency is not necessarily the maximum frequency the VFD will allow. But it is the one used to calculate V/F.

Nominal current and power are more tricky. Just start with a nominal current level you know is safe. Calculate nominal power using torque and motor speed (rpm). The torque you use will be based on the nominal current and the motor torque constant (which you will have to figure out somehow).

Power in kW = Torque (N.m) x Speed (RPM) / 9.5488

Later, if you increase the nominal current, you should also increase the nominal power.

The VFD probably has a way to allow temporary current increases (a torque boost function) to improve output power at low speed. But the VFD will assume that 100% torque corresponds to 100% of nominal current. And it will assume that nominal power occurs at nominal current and nominal frequency.

This should hopefully get you started without blowing anything up (I hope).

You may be able to run the motor in straight V/F mode long enough to get some torque and current measurements. Good luck!