It took me a couple of reads, but I think I understand what you're asking.
On page 1 you're taking a proration from the seller and giving it to the buyer to offset the days of 2013 that the seller owned the property, correct?
Then no, the proration on page 1 should NOT be figured into the escrow deposit. You still need to take the proper amount from the borrower to set up the account.
You might consider lowering the loan amount so the borrower doesn't get cash back due to the proration.