d4, c4, e3 system vs KID

As Black, I play King's Indian Defense. But most often, my opponents play the following systems I have given below.

Seems like no one's interested.

There isn't a lot of love for KingsIndian in chess com opening forums, because people seem very influenced by database stats. 

A good book for these minor lines is Yelena Dembo's "Beating the anti kingsindians", where for the first line recommends an approach with c5, and b6, Bb7.  For the second can continue preparing the traditional e5, with nb-d7, and qe8. Then sometimes play e4, or e5xd4 depending on white does.

In second, is it good to play a6 before Qa8 to avoid any trouble on c7?

If white doesn't grab any space I think its bad for white. It makes it easy for black to play for an initiative here and grab all the space they want. stategically I think black should have good winning chances. Maybe white has some tricks up their sleeve?

I think in this position you should try to push your pawns kingside so I'd definitely push to e5

In the second I was a little confused and it is not necessary to play Qe8 at all to prepare e5, just nb-d7.  If Qe8 comes at all, it is more typically re8 , it is to make possible e5-e4. Also it is more typical for white to play be2, instead of bd3, otherwise loses tempos to later e5-e4. A typical game is 

http://www.chessgames.com/perl/chessgame?gid=1732393

9. d5 is a questionable move by white. Closing the center makes it easier for black to attack. 

I would hold the tension with 9. c4.

Shankland's proposition of 6...Nfd7 plus ...e5 etc is an old, and entirely viable idea.

On the second position: You don't have to play 4...d6, castling is more flexible, followed by either ...d5 (a Grunfeld line where Black is quite OK), or ...c5. But 6.Ad3 is not a good move: Black can play 6...Nbd7 followed by ...e5 and ...Re8, and due to the e5-e4 fork white should move the bishop again.

6.Be2! is the right move, and Black has a few problems to solve.