I have an extension lead (from a 13 amp plug) running out of a window from
the house, over the lawn to the shed , to power a light / fridge in the
garage and want to improve this (very unsatisfactory) arrangement. I am not
"part P", don't really want to pay a fortune, and have the following
queries.

Is this technically not actually illegal ? Could I run the outside bit in
buried SWA, but still have it "plugged in" via a 13 amp plug in the house,
so its unpluggable ? Can I leave as is ? What should I do to comply with
all the current regs ( which I am unaware of at the moment) ?

Thanks,

Nick