Thank you everyone. We picked up the new fabric and got up to the trailer Friday, enjoying the awning just a little later. It took just over an hour to install, including tensioning both springs.
There was no spring tension at all when I removed the awning, there were also no screws securing the fabric to the channel on the trailer. It doesn't appear there were ever any screws there, as there is no holes in the channel. I'll fix that when I return from traveling in a few days.
Overall, it's a relatively easy task if you take your time and plan ahead. Having three people at least is very helpful as well.