High idle is likely same cause different symptom:
IE high idle can be due to dirty ICV, vac lines old and cracked, throttle body dirty, etc Engine and computer likey trying to compensate for something else that has set and is not operating up to standard. Hard start could easily be caused by bad or dirty injector as a result of sitting for a time. Also, the cold start valve, which is really another fuel injector that injects directlyin to the intake for fast start when cold could aslo either be dirty, bad, or leaking. SO, many of the things that you are annoyed about could be from lack of use and varnish or gum accumulating or just being dirty from use and age and sitting undriven. See why it could benefit from a long highway speed drive, it heats things up, burns of bad gas and blockages and gummed up injector system. You might find something fixed after the drive and if you dont, it was still fun.
Note: Cheveron Techtron gas has a small amount of the same cleaner Techron, that I want you to buy and use periodically in your fuel tank, say at least once a year or twice, you dont drive it much, I have done it as often as every 3 months in my 16v with no negitive results, only a fast clean, nicely handling engine.
PS - My pride and joy, 1986 2.3-16v doesnt always start right up on the first key turn either and I paid a bit over 3 times what you paid for your new baby to get this one is such good condition from Florida, big deal. I could be an endless search to finally get all the possible reasons sorted out to get it to guarantee it starts on the first turn. Who cares, it is running well, all else is within specs, valves set correctly and babied with tons of new parts casue I like to turn wrenches. Just drive it.

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Christopher Henkel
1990 190E 2.6 - Arctic white SOLD
1986 190E-16v - Blauswartze
1993 300CE - SOLD
2003 W208 CLK 320 Cabriolet - Magma Red