and plugged her in wile our generator was running. That may have blown something.
Unless the CG wizard wired the the 30 with 240, it will not damage anything when plugging into a shore power with the genny running.
Your genny equipped rig will be generator priority through the transfer switch. Meaning that if you are on shore power and start the generator, once finished with the warmup period, the "Automatic" transfer switch will switch over to genny.
If you are on shore power
and running the genny, if you shutdown the genny, the ATS will automatically switch over to shore power.
The first and easiest test is to have the genny off, shore power unplugged. Stand by the open basement door and have someone plug into the shore power. You should have a very noticeable clunk as the relays close and allow power to the panel.
Clunk or not, have someone start the genny and listen. After the genny goes through the warmup you will here the clunk as the relays close.
A very common issue with any of the trailers with gen prep and ATS controls is loose or damaged wires (from loose connections) inside the ATS.
If you are OK, with doing the work, find ATS (behind the basement wall, somewhere inline between your shore power inlet and the panel, listening for the clunk will give you an idea).
With the genset off and shore power disconnected, take the ATS cover off and look at the terminals. It is usually very easy to see if there is a wire and terminal issue. There will be black, burned wires and evidence of arcing.
Check the screws holding down the wires.