fwiw, ABS light not coming on briefly during self diagnostics when rotating key from position I to II, may or may not be a sign someone has tampered with the instrument cluster to hide the ABS fault. ie. take bulb out or blank it off....
All three fault codes you report seem to be related to ABS system according to Google. I believe faulty ABS pump motor is quite common on ageing GD1 cars.
What is the current mileage?
The 2006 automatic is a CVT. It doesn't have fixed gear ratios. When was the CVT transmission oil last changed.
The engine shouldn't cut out as you describe. If you purchased the car from a car dealer recently, take it back to them. Unless you can reproduce the faults easily and safely, it will be difficult to determine the engine fault if no fault codes are stored.
In any case, there is a problem with the ABS system in first instance.