Thank you both for your quick replies!
I wasn't sure if the electrical connection was reversed where, with no electricity the breaks are engaged but with electricity they are not. Now I know that they need electricity to be engaged.
The location where we are keeping the trailer for the time being is definitely not an even surface. I will have to chock the tires for sure then. Right now they are set in a deep rut (not by luck either but that is a long story) so it isn't going anywhere but once it is in its, shall we say, temporary resting place I will definitely have to do something for it.
Thanks again, I appreciate the help here!