You should get Don Casey's book, "Sailboat Hull and Deck Repair". It should have enough information to get you through this. Also, check with the Epoxyworks.com website.
Yes, you need to replace the styrofoam, which was probably there to add positive flotation to the boat. You should get some Airex or Divinylcell polyurethane foam to use, since both are commonly used as core materials in boat building.
If the deck was cored, it can be re-built using Airex or Divinylcell or end-grain balsa. It doesn't have to be re-built using plywood. The boat will be stronger and lighter if you use one of the foams or end-grain balsa as well.
What is wrong with the keel??
DO you have photos?? If so, you'll need to have ten posts before you can really post photos. The forum's internal photo posting system is pretty useless, so I generally recommend getting a photobucket or flickr account and using that...
ALso, read the post in my signature to help you get the most out of your time on sailnet.
Finally, where about in the Boston area are you. I'm local to that area, and sail out of Buzzards Bay.
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You know what the first rule of sailing is? ...Love. You can learn all the math in the 'verse, but you take
a boat to the sea you don't love, she'll shake you off just as sure as the turning of the worlds. Love keeps
her going when she oughta fall down, tells you she's hurting 'fore she keens. Makes her a home.
—Cpt. Mal Reynolds, Serenity (edited)
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Still—DON'T READ THAT POST AGAIN.