Nothing cheap goes on my 300se, it's in mint collector condition

Except for this problem though

By full tune up I mean
-All filters
-Cap, wires and spark plugs
-Oil and fluid change
Did all of that a about year ago, the car is garage kept most of the year, but driven at least 2 -3 times a week.
I will buy a new fuel pump and filter tomorrow, and a new coil. Stuff is old so will need replacing soon anyway. Hoping that will fix it, but I am not sure. I will also do a double check my distributor cap.
By the way, the car has no problem starting, when cold. But when warm, it might not start at all. I have to wait for the engine to cool down a bit.