Car stalled and had to have it jumped. Turns out

I had same thing happened but was battery but you have replaced it thinking your alternator needs replacing now for your battery is getting wrong charge and fluxrating

When you jumped the car did the engine spin over any faster or did it stay The same??? If it spun faster then the next step is to see if it is getting fire to the cylinders

check all positive wires coming from battery sounds like you melted one and it's touching something it shouldnt, Thats what u smelled, clean and tape damaged wire(electrical tape) check wires behind fuse block also

Likely these problems were being caused by your electrical system being abused. You MUST pull the cables off your battery and clean both the battery and cables to shiny clean. Add a touch of vaseline to all parts and hook it all back up.

Check that the timing has not jumped, incorrect timing will trigger a cam sensor code as the ecu can not work out the correct position of the cam.

John

Check for a drain by putting an inductive ammeter probe around the positive or negative wire on the battery.

If there is more than .2 Amps of draw when the car is not on, then you have too much of a drain caused by something in the car's electrical system.

Take the car to an auto electric shop to try to find the short or source of the drain.

replace the Crank Shaft Position Sensor.

does this model have an ETS on it? Electronic throttle system. I could need a new throttle body. Sometimes the software goes bad and it will give the symptoms you described.

TRY ANOTHER FUEL PUMP AND FUEL FILTHER THESE PUMPS ARE FUNNY ON VOLVOS HAD SAME PROBLEM ON 850 TURBO AND SURE ENOUGG IT WAS THE PUMP

just a few easy things to check! if your battery is more then 3 yrs old,its a good idea to replace it, even if this is not the cure, but it sounds to me it is a good possibility,had the same problem with my car! see you don't want to jump start it through the battery in your car! the way to buy pass a bad battery is to connect the positive cable from the good battery to the positive post on the car being jumped, connect the negative cable to the frame of the car being jumped,NOT TO THE BATTERY.also, when u get it running take it right to a place that can check your alternator to make sure its o.k. their are some auto part stores that will do that for free and u could get the battery from them if needed.good luck to u,hope we helped!