No accelerator, engine revs between

The symptoms you describe with your C2, such as the rev counter malfunctioning, lack of acceleration, and the car cutting out, could be caused by a few different issues. It's possible that the battery light flashing and the display indicating "Eco mode" could be related to the other issues. Here are a few possible causes and solutions:

1. Battery issue - The battery light flashing could indicate a problem with the battery or alternator. It's possible that the battery is not holding a charge or that the alternator is not functioning properly. Have the battery and alternator checked by a mechanic.
2. Throttle position sensor - The throttle position sensor (TPS) is responsible for sending the correct signal to the engine management system. If the TPS is malfunctioning, it can cause issues with acceleration and engine performance.
3. Mass airflow sensor - The mass air flow sensor (MAF) is responsible for measuring the amount of air entering the engine. If the MAF is dirty or malfunctioning, it can cause issues with engine performance.
4. Fuel system issue - There could be a problem with the fuel system, such as a clogged fuel filter or a malfunctioning fuel pump.
5. ECU - The engine control unit (ECU) is responsible for controlling the engine. If the ECU is malfunctioning, it can cause a wide range of issues, including poor acceleration and engine performance.

It's important to take the vehicle to a qualified mechanic to diagnose the problem and perform the necessary repairs. It's not recommended to burn the vehicle.

Is this a drive by wire model? Id so there is a second throttle position sensor on the accelerator pedal also.

When the battery went flat it probably caused the on-board computer to lose its memory.
I suggest you check out you tube as I have seen quite a few videos of similar problems

The missing while accelerating is likely due to ignition coils and/or spark plugs going bad. The missing while in park is a normal thing. The car has a rev limiter that will not allow the engine to rev to higher than 3000 RPM while in park.

Make sure there is fuel pressure in the fuel rail, and the battery should have 12V charge to start the vehicle.

One possibility is you have corrupt data in the engine computer parameter memory due to the low voltage and jump-starting surges. Disconnect the battery, wait ten minutes, then reconnect the battery and follow the engine computer training procedure (this may be titled "After Changing the Battery") in your owner's manual. Usually it's something on the order of letting the engine idle for a period of time, shifting through the gears if you have an automatic transmission, then driving normally.

Was the battery dead flat when jump starting ? This may have caused damage to electronic components due to a sudden electrical surge when removing the jumper leads .(especially if the engine was running )

Usually the first to be hit is the alternator . Just put a volt meter across the battery and rev the engine to about 2500rpm for 20seconds or so . The voltage should climb to about 14.5 volts . If the system is not charging that is where your problem will be , likely a new voltage regulator which is internal to the alternator will be needed .

I am also wondering why the battery went flat in the first place , did you leave the lights on ? Perhaps also test your battery and make sure the battery terminals are clean and tight .

It appears to be stuck-open throttle maybe due to a bad throttle cable or a broken return spring. Check the operation of the throttle with the engine off, and don't start the engine until this problem is repaired. Hope this helps!

examine the relays for ignition and fuel under the hood and or the fuse panel under the dash.... replace them... or swap them out for an accessory that uses a relay that isn't critical to the operation of the vehicle...