Barney brings the lock box to the bar but he leaves the lock box next to Ted. He is then back at the house and the lock box is sitting on the table.
When Marshall is trying to convince Barney not to watch their sex tape, Lily keeps her coat down. Then at 15:42 Lily is not wearing her coat as she had kept it down before but then at 15:49 Lily is shown wearing the same coat as if she hadn't removed it.
Around 10:48 we see Marshall holding the camcorder used to record his sex tape with Lily: It appears to be a mini-DV or flash unit. Around 12:53 Barney is handed the tape discovered in Marshall & Lily's house - which appears to be a VHS tape, the mini-DV can be played on a VHS adapter.
When Ted calls Marshall to meet him at the bar (around the 3:30 mark) and they hang up, you can clearly see Marshall's phone screen as he pulls it away from his ear and that it was not in a call but simply in what appears to be the app menu.