Engine cuts out

While driving it stops running for about five or ten minutes.
I have noticed the tachometer needle is moving up and down while at idle.
When driving on the freeway doing 100km it has a cough every so often like it has a miss fire, and once it would ot change up to top gear after using cruise control. I pulled over and restarted it and then it would change up.

It has a supercharger not a turbo charger.