Congrats, nice find.

The trans issue might be caused by the low voltage alternator issue. BMWs don't like low voltage (many owners replace battery at 12.2v (50%), and alternators when output drops below 13.5)

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'03 X5 4.4 Sport, last of the M62s (8-03 build date)
I believe in deadication to craftmanship in a world of mediocrity!