inizial moves...

There is no advantage in it for white either.

One disadvantage of this bishop move is that it is not clear yet weather this square is it best post. Instead, c2-c4 puts immediate pressure on black's d5 point. Forcing black to done something about it.

I'm fine with it. I would probably do 5. g4 just to be cool.

Now g4 is looking like a good option.

Black has clearly invited White to take on b7, so White is right to catch a whiff of rodent. But he does the right thing here, be it noted. Rather than 'trust' that his opponent must have something up his sleeve in the event of 8.Qxb7, White takes the trouble to explore the consequences of the move, and acting upon the conclusions thus drawn.

You could of used it as a tempo fianchetto with 9. Bg2. All your pieces seem to be pointing that way anyways.

I see nothing wrong with this pawn thrust.

I have a vague feeling this might have been better delayed, leaving the King in the centre for the nonce. 12.Bb5 looks as though it might lead to something of interest.

This is a very interesting break. Potentially it opens up diagonals at once for both Black's Bishops, both of which aim into White's Q-side.

13. Rg1 was the play to be made. You need to learn to adjustment more when things change.

Thank you for the comment... but I am still far to be able to calculate that far.