Muddyone, any luck with analysis? I may have a similar problem on a 2005 with a DVD player. To keep it short, problems were:
1. Car wouldn't start after being parked for more than two days.
2. LR's solution after two weeks in the shop, replace battery
3. With new battery, car can start up even after being parked more than two weeks.
4. About a year later, which is now, car won't start at noon even when used in the morning.
5. I'm now back in the forum researching the problem and any solutions.
If problem is similar, I can share some of my research when I had the problem more than a year ago.