It would work, technically speaking.
Pros: We'd get two contracts a week, and we'd be able to play these two contracts at any time that was best for us during the week.
Being able to post two contracts in a row is good for anyone who wants to create a series, or a two-part story, since they can get two contracts out there in one go.
Cons: The winner would have to have to come up with two contracts, and making one can be pretty time-consuming if you want to do a good job of it.
Adding up scores also, arguably, detracts a bit from the purity of the contest: it's suddenly like playing a football match over two legs. If you totally mess up your first contract, you might not have the heart to even play the second contract because you know you have virtually no chance of winning.
I'm not saying yes or no to the idea. Just laying everything out for people to consider.