2006 Chryser Sebring Convertible V6

I'll see what I can find, but if your'e under 36,000 miles the dealer should warranty it.

I haven't found anything that is of value. What I would recommend is when the problem happens and it isn't starting, call the dealership and have them pick it up.

Prior to this, speak with the service manager and explain how this needs to be taken care of and since they are unable to reproduce it in the dealership, they need to address it in a timely fashion when it happens. He should understand the situation as it is a intermittant problem.
The problem may have nothing to do with the DECK and that is probably another symptom as opposed to a causal area.

I would be suspicious of the body control module connector area:

The deck lid ties into it.

You can see that the Anti-theft is also on this connector and may be the source of the no-start:

If I come across anything, I'll update you. This problem should be treated as an intermittant no start. By finding what component is missing from the combustion it can be back traced to the source...hopefully in a painless way.

Hey John, Believe me they already have it, just need the sense to make use of it. IF a problem can't be duplicated, a lot of techs drop it right there.
Good luck, let me know what happens.