We get thousands of entries to every competition (typically 5000+) and you're right, the Competition link is in the About Us section. I realise this isn't entirely obvious, and can be difficult to find, which is why (normally) the latest comp is flagged up in the carousel on the Homepage so it's easy to find.
It just so happens we've had a very busy news day today, with lots going on, so I've used the carousel to flag up some other stories. But I'll put the competition back in there on the Homepage before the end of today so it's easy to find.
And no, we don't keep the prizes! The last couple of competitions we've published the list of winners on the site, as members asked us to do, so they definitely get handed out.