The "Teesside Airport" trademark is owned by Chris Joseph who also (interestingly) owns the dormant companies: "Teesside Airport Limited", "Teesside International Airport Limited", "Tees Valley Airport Limited" and "Tees Valley International Airport Limited". Owning these companies will strengthen the argument that he has genuine rights to the trademark.
Juts to be clear, these companies are nothing to do with the "Teesside International Airport Limited" that was renamed "Durham Tees Valley Airport Limited" in 2004 and which is what the Tees Valley Combined Authority purchased recently.
It looks to me that Peel probably let the Teesside Airport trademarks lapse some time ago (it can be an expensive process to maintain trademarks) and this guy has picked them up.
The IPO website also shows that on 10 December, the Tees Valley Combined Authority applied for the "Teesside International Airport" trademark and that this application is currently being reviewed. Of course, this could well be contested by Mr Joseph who might claim that he owns a company of the same name and also a similar trademark.