Get a copy of Dave Gerr's "The Elements of
Boat Strength" to understand how sandwich construction works. It shouldn't be springy if it's a Baba. If the deck is delaminated it would though.
What are you ultimately putting down or what look are you going for?
You could seal each hole with a small patch but life is too short to spend that kind of time. I doubt adding cloth of any kind will stiffen it much but Id try's a layer of 1708 stitchmat, then unidirectional thwartship then a veil mat (.5oz csm) as a top coat to hide the weave. The bias on the 1708 is at 45* so with Uni you'll get good tension strength in all directions without too much thickness or weight. But that's just me shooting from the hip. Read Gerr. For non springy areas just use of veil mat.
Support the deck from underneath. If it's springy you do not want to walk on the resin until it's fully cured. You can make the last coat of resin dry by entraining air. Plastic sheet works or spray on PVA. Or
paint works too. Another way is to add a small amount of stearate wax to the final coat of resin but then you need to remove the wax before applying anything on top of your laminate.
If you use epoxy get some peel ply.
Vinyester is almost as strong as epoxy and will chemically bond with polyester which is probably what you have. Epoxy is good but make sure it's not exposed to UV for long periods and look up amine blush. I've used USComposites in
Miami to good effect. Great pricing on Reichold resins . Vinylester is substantially cheaper than epoxy.
Are you on D
dock in Seabrook by any chance?