05-07 are great years for the 6.0 and it looks like most of the weak points of those years were fixed (STC fitting, dummy plugs) so it looks like you've got yourself a pretty good truck there.
As others have mentioned verify the coolant type, highly recommended going to the red ELC coolant.
Add monitoring so you can guage the health of the oil cooler and other critical engine parameters.
No idea what the Banks "Big Hoss" kit includes but for $3500 I'd hope it was a lot! Probably a tuner, intercooler, air filter, etc. Take some photos of the engine bay and we can probably help you identify the various components that are aftermarket.
Beware there are some aftermarket components that are inferior to the stock stuff (air filters, oil filters, etc) so definitely post some photos of the engine bay.