Hello,nice to meet you on line.The only thing you need to travel to england is the passport with the rabies vaccination and desparasitation from worms and ticks on correct date.Now you don't need the rabies test since January of this year.
If you didn't have any problem until now with him you don't need another papers.If you want to be surer, you could make in your vet a certificate of behaviour,but is not requiered to entry to UK.
If you have any question,please,ask me what you need.
and push to ACEPTAR if you agree my response.
thanks you for all and nice to meet you again