I have mine on a Formica countertop and the top and bottom really don't get that hot, but wood not really sure.
#4 Does the convection oven work like an air fryer?
Yes and no. Yes it moves hot air around the inside of the toaster to improve heat transfer from the heating elements in the oven. No it does not work like an air fryer where the airflow is forced directly across the heating element much like a hair dryer.