Sorting teams accurately as per win/losses differential and points

There's a lot going on here, so I'm hoping I've hit upon the fix you need. I used the following formula in D5; it should be array-entered (confirmed with Ctrl + Shift + Enter instead of Enter):

=INDEX($AE$5:$AE$10,SUMPRODUCT(--($AT$5:$AT$10+0.0001*$AS$5:$AS$10+0.0000001*ROW($AS$5:$AS$10)=LARGE($AT$5:$AT$10+0.0001*$AS$5:$AS$10+0.0000001*ROW($AS$5:$AS$10),ROW(1:1))),ROW($AS$5:$AS$10)-ROW($AS$5)+1))

Fill it down through D10 and it should return the teams in order by points then differential, based solely on the data in AE, AS, and AT. It looks like the rest of your table's lookups then carry over the correct data based on the team name in D, but I didn't parse through it all. Take a look at the attachment to see if it's working as desired: