Car will turn over but won't start

What is your question?

I drove it fine for a day, and it seemed to chug a little while idling in gear. Some day I backed it out of my driveway and it died and wouldn't start without a jump. After that it started fine but whenever I put it in gear the lights would flicker and the car would shake slightly. Would not happen while in park. Now I can't get it to start at all, it turns over. And sometimes it sounds like it's about to start but the car just shakes and instantly shuts off. Checked the battery and alternator, both were giving plenty of voltage. Can hear the fuel pump turn on. Put in heet and gas since it was running low. Nothing helped