2001 Caravan remote starter problem

I've been four times to a local installer of Command Start remote starters (CS350i)  to have one installed on my 2001 Dodge Caravan ES (AWD, 3.8 motor).    They have tried a new approach every time, and apparently even installed a new unit in the car today when my wife took it in, but they are having no luck getting it to start other than when the car is warmed up.  Let it sit for a couple of hours and the ignition lights come on, all indications are that it's about to start, and the starter runs for a few seconds (longer than it normally takes to start), with nary a sign from the engine... then it  shuts off.   Try it when it's warm and it starts fine with the remote.

Any suggestions?  I think they are about to throw in the towel on this car model, and if they do we'll have to go quite far afield to find another installer who thinks he can handle it.  They express that they have never run into this problem before on hundreds of cars, and with a trained installer.

Car has door locks, power doors & tail (not installed as part of this remote starter; we want just the starting), digital zoned heater, rear heater & air.... don't know what else might interfere.  Obviously something related to engine temp is preventing spark for ignition.....  HELP!

Definitely what it is.

2nd start wire is the "cold start" wire.

Thanks... I'll give them a call and ask if they hooked up the second start wire... I see it's listed on a sheet they had in the box with specs for 2001 Caravan... they list hooking it thru a 180 ohm resistor (close enough)... if they didn't do this, obviously they should have.  If they did and it still doesn't work, I may be back.

Unfortunately for the consumer, the remote start business seems to have become a highly competitive business lately, with each trying to outdo the other for low price and quick (but not necessarily thorough) installations.  I could get it installed at the dealership for $300, but am attempting it at a smaller sound system installer for half that price.

My attempt it myself on my old '91 Dakota.... nothing too complex there for electrical in comparison to the Caravan.

I have to think that tach and other basic ignition connections are OK, since it starts fine when the engine is warm (which is unfortunate when we bring it in, since the installer is 50 miles away, and the car will perform fine when we arrive! )  Each time they do something... yesterday they decided that the control module itself might be faulty and replaced it.  It worked at the installer's, but after sitting by itself for a couple of hours...  dash ignition lights come on, starter runs, no firing.

The problem must be related to engine heat, so the cold start wire idea makes the most sense.  The only other thing that is in the back of my mind (as a handy fellow  but not an installer) is that the heating system of the car is quite complex... three zoned, and sets itself to optimum settings when the car is started.   Is there a computer connection there that the ICM is somehow not seeing done... don't know.  We had a '97 Caravan prior to this and they installed a starter in it with no problem.  Is this "cold start" wire some thing new?

I'll call today re the cold start wire, and perhaps have a look at it myself to see if there is a connection off that wire.  The specs indicate it as wire #5 on the main 6 wire harness.  Not going to touch it myself; just see if it is connected to anything.   I appreciate the help.