Aat 35:22 Coop gets up from the table to go to bed with his wife. His hands are empty. He left his PBR Pounder at the table. Coop gets to the room moments after Viv does and she takes a PBR Pounder out of his hand and sets it down.
He took off and threw away his chain and dog tags. Yet that night after he goes after his wife in the bedroom and she comes out of the bathroom tossing the pills at him - he has the dog chain around his neck.
The dog tags at about 0:39 are obvious prop fakes. Rather than being sharply machine-embossed like genuine US military issue dog tags, these are very sloppily hand stamped, with crooked and misaligned characters.