I think in that context, that `` uses sense 3 of this entry at Daijirin to "seek agreement or a response". It might be similar to `` ("you understand, right?")
I think `` would be a more colloquial form of ``/`` "sit down". I think `` here is a shortened form of `` to make a command as in this entry. Note this is different from the prohibitional `` "don't sit".