Just want to let you know I was that person who Missed the offer (I changed my username over the years) I managed to get the offer in the end I'm now going to move on to another firm doesn't matter about te uni.
What you need to do is write a letter to HR and tell them why you're still good. I told them that I am the same person that madet the offer to and that I earned a place on the grad scheme like everyone else. You have to make your case.
Best of luck!!