To both questions, yes. The LED had the same part number as you specified in your diagram, and the longer connector was the positive according to the package. I was very careful about that.
I think I hooked it up backwards the first time I tried it. Would that have blown out the LED?? Backwards in the socket I mean.

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'95 S320 LWB
'87 300SDL
'04 E500 wagon 4matic