Customize Posterize time to work on 'odds' instead of 'evens'.

It may be wrong because you translated the language,
You can shift by one frame using valueAtTime ().
However, the following expression will display one frame later, so it may need to be corrected.

var atime = thisLayer.sourceTime(time);
var aframe = timeToFrames(atime);
var t = 0;

if(aframe % 2 == 0){		// == (1.2.2.3.3.4.4.) !==(1.1.2.2.3.3.4.4)
	t = time - thisComp.frameDuration;
} else {
	t = time;
}
valueAtTime(t)

We really need to see your comp with the modified properties of the layers you are having problems showing. UU + PrintScreen + Paste or drag to the forum. 

I think you are trying to animate the camera so that it stops on each frame to try and match the movement of one of the placed SWF files. That is quite an odd workflow.

It is pretty easy to shift footage one frame. All you have to do is zoom in so you can see a frame at a time then click the layer and move it one frame in either direction. If you are then adding time-altering effects to the layer you need to pre-compose it before you add the time effects because almost all of them work on the first frame of the source video and not on the in point of the layer.

I can not check at this time but try to add the Posterize Time effect over an adjustment layer and move this adjustment layer one frame to the left/right.