1. a3 is perfectly fine.
It is really hard to make it a loss of move in praxis and there occur many traps where the additional "a6"-moves makes quite a big difference.
Black cannot play a reversed QGA as it just loses a pawn, the reversed open Sicilian with early a3 is also very dangerous and even in the 4-knights there is a reasoning behind adding early a3.
And even in reversed closed Sicilian or Queen's Pawn Openings a3 usually has a meaning.
Still, e4 and d4 and likely Nf3 and c4 might be objectively better as they restrict black's possibilities slightly more.
1. C4 does not work? Hmm...wonder then why Bobby Fischer used it against Spassky in Game 6 of the 1972 championship (Fischer won the game by the way).
Fischer used it in game 6 and 8. Game 6 was a draw, but game 8 was a victory.
baati is starting to sound a little ignorant. Spassky wasn't a genius? He was the top player in the world at one point. Fischer and him played 7 (not including the forfeit) games before Fischer managed to beat him in game 3 of the WCC. To say a former world champion isn't a chess genius is stupid at best.
On top of all of this, many of the world champions, including Kasparov, also used the English Opening.