The main photo was from the wood in May 2017. NatureSpot images suggest it’s the Yellow Dung Fly (Scathophaga stercoraria) is pretty common from March to November, peaking in summer. The adult fly is mainly carnivorous and catches smaller insects, though also eats nectar. As the name suggests, this fly lays its eggs mainly on cowpats.
The other two photos from our garden in May 2018 show one with prey of some sort. The Guardian made them sound positively romantic in an article back in 2016: “resplendent in golden hairs that glowed in the early morning sunlight”. Adults were said to be “agile predators, whose hunting prowess translates into rapid growth and a better chance of sexual success”. The author found some “crouched on nettle leaves, darting out to catch small hoverflies in flight”. “When they returned they held their prey between their front legs, mantis-like, chewing them in the way we might eat hotdogs”. Not quite how I eat my hotdogs, but then they do things differently in The North.