Will a set of 8-hole alloy wheels that were standard on 1994 Mercedes E320 with M-B part number 1244011202, with specific size information inside each wheel of 6 1/2J x 15H2 ET44 fit my 1988 300E?

Yes, absolutely. They're both W124 chassis, and essentially the same model

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Best regards, Michael
'92 500E
'88 300TE

I wouldn't anticipate any problem whatsoever. Anyone who has owned or cleaned the pre 92 wheels knows what a hand cramp they are. The cosmetic difference of the 94-95 wheels over the early multi-hole wheels is amazing. Nothing changed that I know of during those years that would prevent you fitting the newer wheels. The looks great and will be MUCH easier to clean.

Enjoy...Lee

Will the old (mid 90's) 8 hole wheels fit a 98 E Class?

I don't think that fittment would be a good idea as the current E-class has 16" wheels as OEM. If I were changing wheels on a 98' E320 (and staying with OEM wheels) I'd just put the V8's wheels on there. In my opintion, they look MUCH better, and you know they are easier to clean.

Hope this helps...Lee