other things to check
other things to check
Did you replace the other parts besides the battery before or after trying to start the car?
If you say the car ran before with nothing but a new battery in the past, you should try putting the old parts back in and seeing if you have any faulty replacement parts (with the new battery). Original coil, original plugs, original wires, cracks or no cracks.
At the very least you should get a spark light and see if you're getting a spark to the cylinders with both sets of coils and wires - you have to be systematic and do this by elimination or you will be guessing all the time. Ensure the plugs are gapped correctly.
Here's a summary of things to look at and in what order.
1. Start by grabbing an OBDII scan tool and hook it up. Key on, engine off. Will give you codes if they are there.
Are there codes? Post them. They can say for sure where to look.
No Codes?
1. Ignore all air sensors for now. None of the air sensors will prevent a start. Limp mode will still allow the car to start provided actual air, fuel and spark exist. One thing you can try is to disconnect the MAF sensor and try a limp mode start on purpose - forcing the engine to use preset mappings. It might start this way.
2. The presence of spark eliminates timing issues and thus eliminates checking the timing. No spark means timing issues - because the cam and crank sensor must agree before spark is sent from the engine computer.
3. Fuel pump, relay and fuse are good if the pump cycles at startup. Since this is verified, you must check the fuel line (filter) for blockage and fuel pressure. Your system is likely returnless (one fuel line) and the pressure regulation is handled by the fuel pump - I believe there is a sending unit on the rail as well.
4. The injectors may have become clogged from sediment and sitting for a long time. A heavy duty injector cleaning treatment directly to the fuel rail by a garage or if they are available at a store is a good idea.
The water pumps in contours are weak and can fail - they have plastic blades that crack, shear and detach inside the motor, requiring head work. This is a possible answer to the low compression issue - unless the piston rings have washout and it burns oil.
Things to check for head gasket failure is water in the oilpan, frothy, oily coolant in the reservoir, and white smoke, a sweet burning smell, or blue smoke from the exhaust.