These contours have the same problem as some Mazda's. Check and CLEAN engine to bnody ground straps thoroughly. If you get a bad connection you may get all lights etc on but not enough amps to crank that starter.Remember a starter is a series wound motor and just about short circuits your battery when starting so make sure all battery and ground connections are clean..clean..clean.!!!
Quick alternator check.Run Engine check voltage at battery terminals. Should be about 13 volts or higher.Don't own a voltmeter? Then pay a good auto electrical guy to figure out the problem!!