I'm sorry you got cut from your favorites but I'm glad that you accepted your invites. Those houses see something in you that makes them say "we want this girl as our sister", keep that in mind.
I know deep down that you will find your home. Just keep your heart and your mind open to the houses you were invited back to.
And don't worry about "tier status". It doesn't matter. All that matters is that if you find a house tonight that you can see yourself a sister of, go for it. Don't worry about what other people think. All that matters is what you think.
Best of Luck and I can't wait to hear back how the parties went.