Just bought it. Sometimes starts, sometimes doesn't. Battery is fine each time. When it doesn't start, I turn the key and it doesn't engage the starter motor. It's like the electronics won't let it engage. Push starts easliy. Not sure if it has something to do with the fuel pump or if it's the immobilizer. Any suggestions?
If the starter isn't cranking the engine, the fuel pump doesn't have anything to do with it. As far as an immobilizer, is there a light that is staying on indicating the security system is engaged? If not, you may have a starter going bad, a bad starter relay, or even a bad clutch switch (Manual transmission).