In many US locations you aren't required to pull a permit and get inspections for sheds below a certain square footage either.
But that's not a free pass to build an unsafe structure. Using (non-structural) screws instead of nails is not a big deal for something this small that won't see snow load, but other things like mixing high voltage wiring and low-voltage wiring in the same conduit are a problem regardless of code.
Connecting something to the electrical system will also invoke code regulations, regardless of the size. There's no free pass for ignoring electrical regulations just because a building is below a certain size in the US, and I doubt there is in the UK either.