Octaves and note order are irrelevant - if the chord is made up of C,E & G, it's a c major chord. The last 2 options you've listed below are not C chords - without further analysis, without a C note in the chord, it's not going to be a C...

And having just grabbed a guitar to have a look - I'm not sure the last 2 chords you've listed are very playable ether... :eek: