what are the two most important chess openings
The October 2017 issue of Chess lists the top twenty openings compiled from a list of 4192 August games where both players were rated over 2400 Elo. One can not take position on this list too seriously because it is greatly influenced by how the openings are grouped. For example, all the Retis are grouped together, while English is separated into 1...c5, 1...e5, etc. Nevertheless, for what it is worth, some of the list entries are: 271 Retis, 232 King's Indians, 172 Caro-Kanns, 165 Nimzo-Indians, 126 Najdorf Sicilians, 126 Slavs, 118 declined Queen's Gambits, 100 Queen's Indians, 98 1...e5 Englishes, 94 1...c5 Englishes, 93 Kan Sicilians, 81 Tarrasch Frenches, 77 1...Nf6 Englishes, 73 Guioco Pianos, 67 1...e6 Englishes, and 66 Moderns
Check out this article: http://chesswinning.com/10-best-chess-openings/
(thats not the KID yet, black has d5, transposing into a Grunfeld (a clearly better option IMO), for KID you need 0-0 e4 included)
Depends on the player. If they never play 1.e4 or 1...e5 or 1...c5 then they don't need the Sicilian, Ruy Lopez, or the Italian Game. But then they have to fill that hole with something.
QGD no matter what.
It depends on your view angle.
just like ? can you explain little more ?
More concretely, it depends on your criteria of "importance". For instance, one can say that the chess is just a game (with no real consequences) so the importance of any opening is equal to zero.