Weird ...
They appear to be primarily aimed at the US market ("the USA's only specialist law essays service") and they have a US toll free number, list their prices to students in USD and also their payments to writers in USD. They also have a page on their website dedicated to comparing themselves to their US competition.
So why has an American company based in Delaware, and not registered as a company in the UK, registered a UK domain with a .co.uk address? They mention the @lawessaysamerica.com address on their website for e-mail contact but this domain is available and hasn't been registered yet (which is perhaps why Elvis' e-mail failed!). It would be funny if a competitor or someone "concerned" about this company registered this domain ;-)
They say that Lawessaysamerica is the trading name of "McLaren Knight Academic Inc." based at 1201 North King Street, Wilmington, Delaware,
but the registrant of the .co.uk website is an individual based at:
Castle Square (no person's name / company name / building number given)
Melbourne
Derbyshire
DE73 8DY
United Kingdom
Without a building number it is hard to check where exactly on Castle Square this company or person operates and the Royal Mail's reverse post (zip) code lookup gives four pages of results for this post code (ranging from flats/apartments, offices, shops, a pub etc) but no listing for McLaren Knight, lawessaysamerica, or the registrant's agent.
Ho hum ... I think I would be more likely to order an essay from Elvis than this shower!