Re: "two main reasons why the Royal Navy no longer uses [paper charts]"
They do do-it-themselves, the navy standard is to be able to navigate coasts and harbours using only compass and sightings and astro-navigation at sea.
GPS, Loran and markey boys aren't allowed - since the people you are intending to broadside may have been naughty and removed them.
What isn't done the old way is using log tables to reduce the numbers - you are allowed to use the nav software and calculators.