Rotation animation on z-axis in Blender I am  quite new to blender and it is first time I am making a character and an animation with it in blender.

I have a rabbit character that I gave some animation keyframe so it has an idle animtion, a walk animation and a jump animation.
I want to use this character later in Unity for a little game. I want to make a side view game, so the character can for example can walk to right and left. I do not know if you can flip/mirror the animaiton in Unity. 
In blender I want to make an animation where it walks from right to left, and then an animation where it walks from left to right.

I tried changing the position of the character by rotating the whole armature on the z-axis to 180, and I hoped with the auto-keyframes turned on it would create new keyframes automaticly with the new location and rotation of the armature but as I play the animation it changed the whole animation to be 180 on the z-axis, so the whole animation was flipped. It did'nt work as I would love to. 
I then tried to create a new Action and copy the keyframes and then do the 180-thing on the z-axis, but it also changed the characters position on the other Action...

I do not know what to do from now on.
I just want the character and keyframes to be flipped, so I get an animation that both walks from right til left, and left to right. 

Hope you guys will help me!

Update

I tried to look at this question Rotate whole animation by 90 degrees 

But this did not help, I could rotate it by using an empty cube and parenting it to the objects, but it still rotates the whole animation.
I have an animation where it walks from right to left and i like to keep that, I just want an animation from there on that walk the opposite way from left to right by just rotating the object and armature and make keyframes of that.
Suggestion. Select armature in object mode. Go to  start frame 02. Insert Key frame rotation.  Go to end frame 08. Rotate armature on Z-axis. Insert key frame rotation. Test Animation.
Consider watching a tutorial video on a video website.  There are some really useful introductory tutorials on the web.  Search Blender Tutorial Keyframes.