Welcome to the forum
Just my opinion, but I’d say the PDI tech either failed or the service mgr did. The “tear” under the door is simply the lower J wrap wasn’t installed high enough and the tech may have missed it for the same reason you did.
The fresh tank not reading is probably a bad ground at the sensor pack but should have been dealt with before you got it.
Both issues are IMO obviously warranty items, and it will depend on how your dealer writes the claims. Let us know what the dealer says.
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2012 Copper Canyon 273FWRET being towed by a 1994 Ford F350 CC,LB,Dually diesel.
Airlift 5000 bags, Prodigy brake control, 5 gauges on the pillar.Used to tow a '97 Jayco 323RKS.
Now an RVIA registered tech. Retired from Law enforcement in 2008 after 25+ yrs.