Being asked to meet at the airport sounds suspicious.
Telling you he's already booked the flight sounds like rushing you, this also sounds suspicious. Fraudsters will always try to rush you through things, so if anything, slow the deal right down, a genuine buyer will wait.
Already there are things that are a bit suspicious about this and I would proceed with caution. Plus it's the bank holiday weekend, also a more likely date picked by criminals. Plus it's a desirable car which makes the possibility of criminal activity higher.
I would definitely be asking for a video call beforehand to get a photo Id and then matching this to photo Id (driving licence and passport). Then as soon as they arrive first thing I would do is take a photo of them and check their Id again (hopefully you know how to identify genuine documents). I would also try and have a friend/family member with me during the car inspection for added security.
In general it is about building up enough steps to ensure you are dealing with a genuine buyer.