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Why do I get in case 1 and 5 no "a" at the end of the matching circuit ??.

You asked for if /k?a?/: optionally 'k', optionally followed by 'a'.
The optional 'k' was satisfied; everything after that was optional, so STOP here.
You asked for if /k?a*/: Optionally 'k';, followed (or not) by zero or more 'a's.
Found a 'k'; everything after is optional, so STOP here.

With the rise and rise of 'Social' network sites: 'Computers are making people easier to use everyday'

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"Science is about questioning the status quo. Questioning authority". The enemy of (IT) success is complexity.

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