A bad alternator will cause a battery to go bad. It does not have an effect on the air conditioner.
No, it will not.
Yes it could.
The alternator is belt driven and so is the water pump but that is where the correlation ends. There is no way a bad alternator could cause a water pump to go bad unless the alternator pulley was warped. Then there is a small chance.
The voltage regulator in the alternator can cause issues like this when they start to go bad. The voltage regulator is an integrated part of the alternator and cannot be replaced, if it is bad, the entire alternator must be replaced.
either the alternator is dischargeing the battery or it is going flat just because its not getting re charged
No a bad batery could not cause the alternator to go bad .only if a big short happened to the battery and melted the cells in to a short inside the batt
You would probably toast the diodes in the alternator.
Alternator has/is going bad.
Yes, those exhaust gases are extremely hot and can cause the alternator to overheat. Not only that but that carbon monoxide can enter the vehicle and kill you.
The most common cause is a loose or broken alternator belt or bad alternator. Go to any auto parts store and they will check it for free.