Turns over but won't start

Had the fuel pump and filter changed about one year three months ago, car turns over but will not fire or will but only a couple of times after cranking it long enough, has done this now randomly three times. Will not start and then the next day starts and runs just fine. Will go three or four days and then will do it again. Tried jumping the car as well just to make sure it was not a low battery but seems to crank strong. There is a sound of about five clicks coming from the engine that I had not noticed before before turning the key fully to crank. It does not click like that every time trying to start it. It seems to be random when it happens. While driving in between these no start incidents, my engine light came on, took it to Autozone and another place, no code on the computer came up. Engine light stayed on that day, car ran fine. The next day the engine light was off and did not come back on. While I was having the engine light checked I noticed my door open light was on, I checked both doors they were secure but the light stayed on. Turned the car off and back on, the light went away. This was while the engine light was still active. Any help would be great. Thanks in advance.

My eclipse was doing some pretty random things like you are saying. Turned out to be a bad ground cable on the battery. Hope this helps you, theres alot of good stuff here