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Hi Luke,
In the video, you simply have FADER START enabled on the right deck. You can disable that in the UTILITY menu.
The issue with the A B C buttons on the left deck could either be that there is no hot cue set on that track, or it's not loading them; press the CALL button and A / B / C to see if they load.
As for the pitch control on the right deck, it appears that it's either failing or dirty; you might try using a contact cleaner, but if that doesn't fix it, the fader itself may require replacement.