NOOB needs help (7 segment countdown)

You don't have the transistors wired in place yet, do you? I'll look at your video again to confirm.

If that's the case, all the Highs & Lows for pins 2-3-4 and 5-6-7-8-9-10-11 need to be swapped :
2 High turns on CommonAnode2, while 5-6-7-8-9-10-11 low would bring the Cathodes Low & make an 8 appear.

If you do have the transisters, than post the schematic, is hard to tell what you have from the brief camera glimpse.

Minor thing; you don't turn the relay off when done.