I had some problems today. I was driving my VW Fox 1.4 gasoline for about 15 minutes and then, when I had to stop at the speed bump, battery and oil lights came on the dashboard, also it looked like the engine was stopped. However when I gave it more gas, engine hesitated but started to work again (This was quite similar thing as it happens during so called "turbo lag", I was pushing the gas pedal to the bottom but there was no thrust). Then the same thing repeatedly happened again for several times when I was idling or stopping, few times engine shut off completely.
When the car cooled for a hour I had to drive again and noticed the same thing about 10 minutes after starting the engine. So it looks like this happens when the engine warms up.
EDIT as strange as it sounds but I have noticed that this happens mostly when weather is humid or it is raining. When its not a rainy day engine works perfectly.
Do you know what could be the problem?