If that little tab thing is broken off, the handle won't pop out of the grille and you'll have to fish in with a pair of pliers and grab-pull it to release the safety catch. Also, if you need a new one, they are cheap but the 85 380SE seems to take a certain odd length. I ordered one through a dealer and it was the same too-long size as the one that the previous owner had put in. I ended up resorting to my street rodding skills and fabricated a new correct size piece, attached to the OEM outer handle part, to fit inside the grille where it can't be seen.

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1986 560SL
2002 Toyota Camry
1993 Lexus