Your boat doesn't have a fuel locker in the cockpit, on the port side? Wow. Little things year to year, I guess.
As for deck repair. I actually caution against a winter repair. The process involves 2 things, regardless the method you need:
Heat and Time. I had about 4 areas that needed repair. 3 smaller ones and 1 larger. The epoxy I used to repair the damage is very strong, and it is the recommended one. West Systems epoxy. The stuff has a stronger compressive strength than the original deck, making the repaired areas stronger than any other on the boat.
What it needs though, is a particular set of atmospheric conditions to work. It needs temp above 50 degrees for at least 8 hours afterwards. It must not dip below that, or you risk ruining the cure and getting a bad set.
When you look at the methods to fixing a soft deck, you will see there are 2 main plans of attack. One easy, one hard. It depends on the degree of rot.
Easy: I call it the drill hole method. This method involves drilling a ton of 1/8 inch bit holes all over the affected area. This does 2 things. 1 it removes a bunch of rotted core material and creating space for the epoxy and 2, it allows air into the space to dry out the area.
You wait for several months. I waited 2.5 months to allow the area to dry out. Then you inject high strength, structural epoxy (not just any epoxy will do, it must be structural epoxy designed for significant weight on it) into each hole. I drilled about 300. When it hardens, it will have bonded to all the wood and fiberglass in the deck core and create a bond stronger than the original.
There is much opinion, but this method should not be used for a very large section. I did a 2x3 section and had great results, so your mileage will vary. It saves you the hassle of trying to cut up the deck and getting it to match right.
2 Method - Hard Method. This method involves butting a new core on the deck. You cut up the top layer of fiberglass and install a new core. I can't go into much detail on this method since I chose to avoid it. If done correctly, it will work great. I do hear it takes a bit of skill to get to match the original deck curve.
I re-painted and then put kiwi grip on it; which is a thick paint... so any deck blemish from a fix was long hidden. I was very happy. Before, there were sections you were worried if you stepped on it too hard. Now? Rock Solid. I spent all day Saturday diving off the bow into the water and it flexed not once.
Since the deck softness is structural; I say had at it. I can offer you plenty of advice.