It's tripping on high load or only when you turn on the HW heater or gen. breaker regardless of load? You would have to be running everything inside your unit full tilt and get over 30 amps to normally make a breaker trip on overload but it's tripping with just turning on the HW heater or gen. brkr. The fact that it's perfectly okay at the dealer but not elsewhere should indicate something. It works okay at the dealer when you turn on the HW heater and/or gen. breaker? Very strange indeed.
Did you just purchase the Puma or has it been fine in the past?
The 30 amp breaker inside the converter panel never trips? Are you plugging directly into a 30 amp receptacle with dedicated circuit breaker? It's not normal to have a GFI protected 30 amp recept. The fact that this happens in multiple locations should rule out something else being connected to the circuit, the breaker being "tired" or it being GFCIs in series.
I would have said that maybe the HW heater element is faulty, but not if it works perfectly fine at the dealer. Maybe remove and check the element anyway? Maybe see what happens if you turn on the HW heater with the element out? What happens if you turn on the gen breaker with the gen. disconnected?
Yes, check connections at the 30 amp recept. and at the breaker in the house panel. Also check the plug on your 30 amp shore power cord and make sure it is clean. The inside of the 30 amp recept. *could* be dirty and pitted and the only way to fix that would be to replace it. You could use an IR gun to see if anything is overheating. Do you have a detachable power cord? If so, check the inlet blades to see if pitted/dirty.
Measure the voltage inside your unit and compare to the source (at the house panel).
To rule out anything to do with your shore power connection, take a good used 15A extension cord (or sacrificial new one) and cut off the connector end and wire it directly into the connections at the converter panel. Then plug in and see what happens.
BTW, you should never plug your shore power cord in when live. Always shut off the power first either at a breaker or install a disconnect switch near the 30 amp recept. (which is what I did). Otherwise your plug blades will get pitted and dirty leading to high resistance and overheating.