Car doesn't start without jump. Not battery

Whenever my car is turned off it cannot restart without a jump. Battery has been replaced three times and tested as great. One of the people who jumped me stated that he noticed sparks and could be my wiring. When we try to start the vehicle there is a lot of clicking like a small automatic weapon and the wipers and dome lights come on. But if I try to restart it again when it doesn't work everything kind of goes crazy. All the lights and wipers start stuttering off and on. On a side note the car also (I assume) has a bad fuel pump system as after a few hundred miles my car starts losing rpms and tries to die. Don't think the two are related but I figure all issues should be mentioned as they might be. The alternator and the battery tested great. According to Advanced Auto starter battery and alternator tested normal. Another note. After we replaced the battery on the car the second time it ran fine without starting issues or jumps for about three weeks. I'm totally at a loss as to the issue.