Morning, and welcome to the forums!
Congratulations on securing a plot, sounds like a good size.
Well some say rotavating chops up the weed roots and spreads them and their seeds around, creating bigger problems later, some say it helps aerate the soil and turn it over quickly. In this game, it's whatever works for you.
I prefer to turn over with a fork, picking the weeds as I go and really going deep for the big roots. I can't double-dig where I am because of a clay layer about 18" below the surface so a light topsoil turn over (8-10") is all I do. In your case you've inherited the plot just before the 1st frosts so blanket covering now might be a waste of time as you'd have to uncover the land again to allow the frost to 'crack' the lumps over winter and break down the soil for next year.
If I were you, I'd go over with a fork picking out any remaining visible weeds then dump a load of manure on it (except where you plan to grow root veg) and leave it at that. Some people may suggest covering with cardboard to block out light and water, never done this myself but sounds like it could work as it rots down and still allows the frost to do its bit.
If any land needs levelling or raising, now's a good time to do it, and also, why not thow a few things into the ground? You can plant certain types of onion, garlic and shallot at this time of the year, and other things too. We threw a few seeds down and some part grown plants in May and ended up with tonnes of veg we weren't really going to grow, a lovely bonus for the hard work done. Also you can plan your rotation, where stuffs going to go and the fun bit, researching all the varieties you can grow!
Good luck, keep us posted with your progress. (",)