Car wont start it sounds out of gas but its not

have a load test done on the battery as it appears that you have a dead cell. Check the charging rate and if it is not around 10 amps then the battery may not charge at all

Brand new battery failure that quickly would likely be bad connections at the battery, scrape clean the post connectors of any rust or corrosion. If the problem persists, the alternator would be the next step.

sounds like you have a failing ecu. the capacitors in the ecu are worn out. there has been a lot of problems with the ecu on mazda's over the years, only take one out put overload from the alternator and the ecu starts playing up. no codes come up as it don't code its self. having the battery off is like a reset.

Can not nor should you jump a dead battery

You need a good battery or fully charge yours
& then check fuel pressure with a gauge at fuel
rail port

Engine stall or RPM fluctuates at idle.

This problem is commonly caused by a dirty automatic idle speed control valve and throttle valve. Buy a can of throttle valve cleaner (do not use carburetor spray cleaner!) from NAPA or Carquest (made by CRC chemicals) and spray it into the air intake while the engine is running, use up about 1/2 the can, engine will try to stall hold the speed up, shut it down and let it soak for 30 minutes, restart and blow out the remaining fluid, shut it down and disconnect the negative battery cable for 5 Min's to reset the base idle control

Sounds normal for a dead battery

Sounds like you have bad gas. Gas goes bad after a couple months of sitting. I've gone through plenty of other options when trying to figure out this same problem, and it turned out to be the easiest problem of having old gas. Try running fresh gas straight into the fuel pump and see if it turns over then.

sounds like a fuel filter start here fitst its the least expensive place to start.

This is the anti-theft PASSLOCK system. You can purchase a paslock 2 bypass system that will bypass the anti-theft othewise you will have to wait the 10 minutes with the key on the ON position and turn over immediately when anti-theft light turns off

when your car is running disconnect the positive cord from the battery. if the car stays on, than it is your alternator, if not its your battery. also if the car stays on, the head lights go dim if the alternator is malfunctioning