I would agree with Will and Judith and definitely not eat the laurel either. I think you are supposed to take care with the leaves (eg not burn them, and be careful if you shred them because of the spray ).
The middle pic is really nice 2steps, Tahir might be after that for his tree article
Is it's ok pick and eat the hawthorn? what would it be used in?
You can make a jelly with it, or cook it down and strain it, adding the pulp to a hedgerow jam or jelly, or you can make wine with them. You can suck/nibble the flesh off the berries, but there's quite a stone in there, and there's not a lot to the berries when raw. They're not desperately special when cooked either.
But that said, there's a hell of a lot of them; some people speak very highly of hawthorn berry wine.