I imagine the cartridge is getting a little tired which explains the first symptom. The MMC5 will be 20 years old and the suspension will be getting less compliant. This is the least well specified of the range and it will be the least successful at tracking high frequencies.
The platter just lifts off - a piece of stiff card inserted between it and the surround should enable you to lift it up. I agree that this is needlessly tricky!
Welcome to Beoworld.