Derek received a "Fact Checker" badge on Sep 15 because they verified or disputed a fact and backed up their claim with some kind of written or visual proof. If we didn't have someone to check the facts, none of the facts would get checked - and then where would we be?!
Derek received a First badge on Sep 15 because they were the first person to post a thing even though maybe someone else posted that thing after them and got featured for no other reason than, like, sometimes a bunch of people post a thing and the first person to post the thing doesn't get the credit that they deserve. But now they are getting the credit! This is the credit!