The high idle issue can be caused by a vacuum leak or a problem in the idle control circuit. There's a module behind the glovebox that controls a solenoid on the front side of the intake manifold that has a bad habit of developing cracked solder joints.

Start with the fuel accumulator, that should end your hot start issues (and fuel leak!)

With the engine running and the air cleaner off, look down in the middle of the valley between the cylinder banks and you'll see a silver canister looking thing with a plug on the end. It'll have a rubber hose that connects up to the intake manifold just under the air deflector plate. If you pull that plug off while the engine is running, your idle should jump up somewhere around 1500-2000 RPM. When you plug it back in, it should drop down. If the idle is already high when you start this procedure and it drops down to normal when you plug it back in, the solenoid may be full of muck. MAF cleaner will usually clean it up if so.

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Current stable:
1995 E320 149K (Nancy)
1983 500SL 120K (SLoL)

Black Sheep:
1985 524TD 167K (TotalDumpster™)

Gone but not forgotten:
1986 300SDL (RIP)
1991 350SD
1991 560SEL
1990 560SEL
1986 500SEL Euro (Rusted to nothing at 47K!)