I suspect your water pooling may have coincided with the break; as the longitudinal stiffness dissipated. The water pooling is driven by the support bracing layout. Keep in mind water does penetrate polyester resin layups slowly, so you may have rot issues unseen and unnoticed. As Steve pointed-out the CSM used over the braces provides very little by way of structural support and stiffness. Also, there are a variety of polyester resins available to boat builders, all with associated quality and pricing that are correlated. Your long axis braces lie well away from the cover's mid-line, far closer to the cover lip, which offers some structural rigidity in the lateral surfaces of your cover-not a well designed set-up. This, too, may have contributed to the break and the sag. Why I posted the alternate bracing layout.
On closer inspection, I also note you have a series of handles attached to the cover in a variety of sites, you might want to consider applying backing plates to these as well during your repair/rebuild interval.
Epoxy resin has several advantages over polyester resin, price and UV light exposure stability are not among these. If you opt to go with epoxy, you will need to paint over it or keep the cover underside out of direct sunlight exposure for long intervals. I often lay mine upside down on the ground when the boat is in use, particularly if it is windy. You may lay yours down with the handle side upright. I like US Composites epoxy resins; what I don't like is their shipping costs, which are pretty pricey. Price other suppliers if you opt to go with epoxy resin in your layup, including shipping.
IF you opt to remove the wood members, inspect the layup cross-section under them. IF there is no cloth layer visible, only CSM, you will want to consider adding a biaxial cloth layer over the entire underside to strengthen the cover, obligating you to either use polyester resin, or exceed Steve's epoxy volume/cost estimate, which didn't include shipping cost.
I forgot two points: 1.) If you opt to use standard blueboard foam sheets ripped to fit, you are obligated use epoxy, since the toluene component of polyester resin is a solvent. 2.) You can get epoxy to adhere well to polyester layups, polyester resin doesn't adhere well to epoxy. IF you opt to lay another layer of biaxial cloth over the inside of the cover you will have to sand-off the paint on the CSM and you can apply this with polyester resin only if you add the structural supports as your last layer if you use epoxy in their layup. The opposite sequence will not yield good results.