Are you able to upload battle videos to wifi? If you can, just do like I suggested to Luann, and type the video ID number of one of your battles into Pokecheck's Vs. Player. That will tell you all the information on the pokemon used in the battle. SID's listed next to the trainer ID if I remember correctly. No need to actually connect to Pokecheck.
Hmm not sure, is that the battle video's from the subway? How do you upload them to Wifi is it in game?