Saying the 2005 models are prone to HG failure isn't accurate. Mid cycle 2005, the HG was redesigned. Hopefully your rig isn't affected and you don't have to go through that.
I have a 05 V6 and noticed my radiator fluid slowly loosing fluid. I got scared and thought my HG was failing. Turns out it was leaking but I didn't see where. It would leak when it was at operating temp (see pic below) and not leak when it was cold. Anyway, got a Denso radiator and all is good.
Difficult to tell, but that wet spot was pale red.
What is not mentioned are the brakes. Our rigs are prone (that is accurate unfortunately) to seized calipers, so "maintain them " (check the slider pins and lube them, check for crud build up behind the pads and clean as needed).
Good luck
EDIT: didn't read the startup issue, nevermind. Good luck anyway.