Another thing to add.
I could tell my school weren't overly hot on the idea of me applying (I think just because my GCSEs weren't outstanding for my school, and it was a last minute decision of mine to apply) but some teachers backed me, and they were the ones who knew what they were talking about. I applied knowing I had a small chance but thought it was worth a go, and it paid off. So apply, because it's not as if you won't get any of your other five unis.