Couple neighbors helped remove the gazebo. There were a few dents at the bottom of the pool, we'll wait to see if there are any leaks. If there is, I imagine there is no patching without draining the pool (it's on the floor)... and if we are going to drain the pool entirely, we'll just get a new liner and patch the floor. Right now, it doesn't look like that will be needed though.
Couple other issues:
Rust:
The gazebo was made of cheap, hollow steel and it was rusting inside. All that rust got in the pool (concerns?)
Haze:
After removing the gazebo, I noticed a bit of haze in the deep-end. I suspect all the pollen, algae and rust that was in the gazebo is sort of just washed off in the pool. Before the storm FC: 8, after the storm FC: 7 but the pump wasn't running. I started up the pump this morning and brought the pool to shock level (first time I ever did this).
Hopefully the filter removes the particles and the FC protects anything else from growing. I already noticed our filter pressure increase considerably, so it's doing something.