Thanks! To clarify: The engine didn't really rev up. Just the rev counter had its own life. When idling the rev counter shows 2000 and then zero before the engine cuts.

One more think. My Haynes Manual refers to the two sensors as Crank Speed Sensor, and Cam sensor.
The Crank Speed Sensor: "2. Unplug the crank speed sensor wiring from the harness at the connector, which is located in the engine bay behind the battery" 4. Unscrew the retaining bolt from the bell housing. Recover the spacer where fitted"
The Cam sensor: 6. "... Not that the sensor is located at the front of the engine, on the left hand side of the timing chain sprockeet"

Surely what you guys refer to as Crank posistion sensor is what Haynes refer to as "Crank Speed Sensor" right? And this is the one to test/replace. Is it possible to reach it from above? I dont have any garage facilities so I have to do it just parked in the street.