1987 Mazda RX7 1987 Mazda RX-7 will not start

Engine Mechanical problem
1987 Mazda RX7 4 cyl Two Wheel Drive Manual

I have 87 mazda rx-7 that has been sitting up for about 2 years. Just thought I would try to get my old baby back on the road. When I first tried to crank it it would turn over but would not start. I pulled it down the street to kick start it and it would start but would not stay running. It would idle up and down. Now it will not even turn over. I replaced the ignition switch cause it seemed to have a shortage in it but that did not work. Now when you turn the switch on it takes some seconds before the dash will light up and buzzer sounds. All other lights come on and work fine has a new battery in it.