1983 380 SL hard to start when warmed up new coil plugs wires cap and rotor car sits overnight starts fine?

It could be a couple of things that would make your car do that.... firstly, did you have this problem prior to installing all those ignition items? If you didn't have that problem, I would think it would be the coil. Did you also replace the spark plugs? It's also important to use factory MB parts for these specific applications. A lot of after market parts really don't measure up to factory specs. Yes, they're much cheaper, but a lot of times they won't work properly.

My best guess would have to be the fuel system. It could be:

Frequency Valve

Fuel Pressure Regulator

Oxygen Sensor

Thermo Time Switch

Warm Up Regulator

Those listed items are what it could be with the amount of information you provided.