The noise and the cutting out are not necessarily related.  Most common cause of cutting out is electrics and the leat maintained part is always the distributor cap if it has one.  Putting a new ditributor cap and leads on a motor that is 11 years old is never wasted money.  The problem is that over the years muck and hair line cracks lead to tracking of the HT voltage inside the cap.  The squawking noise sounds like the belt.  If it's an old one, fit a new belt that stops the squeaks and squealing (most common when there is power steering but on alternator alone you'll ofetn hear belts squealing especially shortly after starting when the alternator is working hard to replace the charge on the battery used during starting)

If the cutting out involves a splutter and is not clear cut you can bet it's fuel and the first place to look with an old car is the filters, especially the sediment bowl if one is fitted.