On Saturday I bought a 2003 mk3, it drove fine on the test drive but the fuel light was on the whole time, after paying for it I crawled to the nearest petrol station but 5 minutes in to the journey the engine fault light came on

.

I put fuel in it and the low fuel light went off but the engine fault light remained on, I checked the manual and it said that the engine fault light may come on after being driven when the fuel light is on but would go off after

a few drives.

I have driven it 150 miles home and on three journeys today but the light is STILL on! Has anyone experienced a similar problem with the engine fault light?