Do you have a sense how much refrigerant you added? You haven't reached the static pressure on the pressure-temperature table for 73F, which suggests just gas and no liquid refrigerant anywhere. Over filling is really bad, and the total capacity is 16 oz.

Your "engine on, compressor off" numbers make sense if it is low on refrigerant AND the compressor is really on. It's building pressure somehow.

I can't make any sense of why the pressure would drop with the compressor off. Makes me worried it is off when you think it is on. The best guess is the compressor is bad. You do need to get the fan working, no compressor will be happy without it to cool the charge.

This car should have a Denso 471-1380 compressor. Unfortunately, the symptoms leave me guessing.

It's always a good idea to replace the drier when you replace the compressor.

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David.X5
2001 X5 4.4i Sport
SOLD! at 160k miles