Just a few points... Scholes has retired.
And besides, seriously, it will just be an English squad with Ryan Giggs on the left. I tried the same thing.
I made the Scottish top players in (by their form and goals) English along with most of the Wales players. Sven still picked a full English squad and left Giggsy on the bench.
Also, the full team name should be 'The United Kingdom of Great Britain and Northern Ireland' and shortened as United Kingdom (as that encompasses Northern Ireland AND Great Britain). You also said UK & Ireland. Ireland is an island and nothing more. As a whole has nothing to do with the UK except that a part of it belongs to the United Kingdom. The republic is its own country and Northern Ireland is just a province, just like England, Scotland and Wales.
I know people refer to England as a country but unfortunately it's not.

And for any arguments, kindly take a look at your passport.
So anyway, does that mean you'll have Roy Keane playing for the three lions then or will it really just be the home nations?