Sounds like a bad batch of batteries.
I'd go to a different store and buy just one battery there. Install it, and if it holds up, I'd try returning the other two wherever you bought them. I can't believe that two remotes would have something fail inside them at basically the same time. It's possible, but I think it's unlikely.
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2001 Boxster S - Speed Yellow, Black Leather, Tiptronic, Jake Raby rebuilt 3.2 with IMS Solution
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