MB Air is not turning, battery is charged but sounds like a short

It sounds like the fan keeps trying to spin up but then the system powers down, and that it's stuck in a boot loop. You should try an SMC reset if you haven't already. With the charger connected, hold Shift, Control, and Option on the left hand side of the keyboard, and while these are held press the power button. Hold all the keys down for a brief moment, then release the power button, then release the other keys. If the charging light is orange you may see it momentarily turn green. Now attempt to power on the computer by pressing the power button. If this doesn't work, try disconnecting and reconnecting the battery. If that doesn't work, you probably have a larger hardware issue and will need to do some more advanced troubleshooting.