This is a summary of the time line for the search warrants:
Truck: Warrant issued 30 April 2.49 PM, executed 5 May 8.35 PM (but the evidence only gathered the following day at ~4.53 PM)
Car: Warrant issued 5 May 11.05 AM, executed 5 May 1.36 PM
Home: Warrant issued 5 May 6.25 PM, executed 5 May 6.57 PM
Person: Warrant issued 5 May 6.12 PM, executed 5 May 7.05 PM
So, they searched the car first, then him and his home, then the truck last, even though the warrant for that was issued 5 days before.
Whatever evidence they gathered from the truck couldn't have been used as probable cause for the home search because it hadn't been done yet.
They don't mention anything about taking other evidence such as tread imprints, dirt, insects and other things which could tie the vehicle directly to the scene. Why is that? Those are things which they stated as being possibly relevant and some of which are in the list of things they were looking for.
Other than two sets of duct/packing tape, all of the items taken from the house were some sort of recording device (voice recorders, computers, data sticks, video tapes). Oh, and a two year pass to Busch Gardens (how could that be relevant?)
The things you might expect to be taken in a potential abduction/murder investigation (such as clothing, cell phones, telephone messaging systems, potential weapons etc) were not taken.
I can't help thinking that this isn't a complete search. I would guess that they will have to do additional ones.