Yes, Kara reported in the pre-game show and pos-game show there is no longer a coin flip. Carl's analysis is based on an obsolete rule that was replaced this year. Record against the teams played twice and the better record against and of those teams is the deciding factor this year.
Yes, that would be the deciding factor. Under the tiebreaker rules, the first one is head-to-head - which of course would not break the tie. Then comes Step 2: look at each team's record vs the 3ed place team, then the 4th place team, etc, all the way through the last place team - but in that part of the tiebreaker being 2-0 vs a given team does not trump being 1-0 vs that same team. So that part of the tiebreaker also doesn't resolve the issue.
If comparison with all the teams which was done in Step 2 still does not break the tie - and in this year's Big East it does not - then they go back to comparing records vs #3, #4, #5, etc. But in this last pass, 2-0 does beat out 1-0. So in this case, Marquette will be higher in the standings than Providence, and thus UConn's 2-0 record vs Marquette beats out Notre Dame's 1-0 record.
BTW, prior to last night, Marquette hadn't clinched the higher spot in the standings. If Providence had won, then we still wouldn't know which way the tiebreaker would fall. If Kara reported pre-game that UConn owned the tiebreaker, then she was wrong.