To start or not to start?

[Doix]

Forum members,

Most of the time I only read topics trying to search information to keep my Toyota in good condition but yesterday my Toyota did not start but in a way I can not find any information about. So I hope you people can help me? My English is not that good but I will try to describe as clearly as possible.

Yesterday after a 30 miles trip in my 2007 Toyota Yaris 1.0 VVT-i Sol manual transmission (44.000 miles and no problems so far) I visited a petrolstation to get some fuel. The given range was 35 miles yet for this tank. During refilling I let the key (conventional type) in the ignition lock but of course with everything off. After refilling I turned the key to start the car, clutch down, the normal warning lights on the dash wenton and I turned the key further ...
nothing, no click, no sound, no buzzing, nothing. I turned the key off and tried again with the same result. I took the key out of the ignition lock, pushed some buttons, locking and unlocking the doors and tried again but the car stayed dead silent. After trying this again but now with manual transmission free (it was placed in first gear I discovered) the car still gave
no sign of life.
Because I was with my wife and child (3 years old) I decided to call the AAA (road service kind like that). The needed information to call them was in my coat in the boot (trunk?). After I took my coat opening and closing the trunk and trying to call, my wife did one further attempt to start the car and it started like there was nothing wrong (!). I was totally flabbergasted, the whole story did last for less than 3 minutes and why my car did not want to start and stayed completely 'dead' is completely unclear to me. We drove home without any problems and this morning it started as if nothing happened before.

Does someone know or experienced the same? The battery is only 4 months old, all warning lights on the dash did burn properly, no engine check light did burn after starting and I think there are no issues with fuses due to the fact that the car did start properly after a few minutes. I am not that familiar with Toyota in specific, but does this car have a immobiliser or some sort of safety measures to avoid starting when for what reason? I read something in the manual that it is possible that when restarting the car you have to wait for 30 secondes?

I am a bit lost so hoping for advice.

Kind regards,

Aad ~ Doix