How to cook Colm O'Gorman's linguine with king prawns, garden peas and lemon

We had some king prawns in the fridge, so I decided to make a quick pasta dish using those and the peas and the eggs we had been gifted.
We were visiting my in-laws in Tyrone recently and were sent home laden with farm fresh eggs, and some beautiful just-picked cherry tomatoes and garden peas still in their pods. It was a fairly long drive home, and by the time we got back, we were very hungry, but I was not in the mood to spend much time in the kitchen. That said, I was very eager to use the bounty we had brought back with us. We had some king prawns in the fridge, so I decided to make a quick pasta dish using those and the peas and the eggs we had been gifted.
A carbonara style sauce seemed like a solid plan as it would be quick and easy to make. I decided to add lemon to complement the prawns, and I finished it off with fresh mint and a little thinly-sliced red chilli.