I understand about the details of the rebates, but isn't that the case with most rebates.
If you don't follow their direction, most likely it will get rejected.
When there are multiple rebates involved (unless the merchant made some screw up), typically the manufacturer gets the original receipt/upc, and the store (BB, CC, etc..) will get the copies.
As many in here, I've done numerous rebates (probably 40-50 in the last year). I follow the instructions to the letter. And thus far have had a 100% success rate. There were some that took forever (3-4 months from easier rebates/officemax), but with a little perseverance and few phone calls, they all get paid.
I've read of at least one of you getting several sticks with a coupon. The rebate submission form clearly states 1 rebate offer per person, per name, per household. To me that means its the sum of all of those contingencies. So if two people from the same address apply for the rebate, its likely only one or non will get approved.
At my store, i bought two sticks, paid with a cc for one, and cash for the other.. That way the cash ticket has no name.
Good luck