1998 Jeep Cherokee Manufacturing Code Error P1282 "Fue

I've been having an issue with a recurring "Check Engine" light. From my own research, the resulting code, P1282, relates to an issue with the fuel pump relay circuit. So in trying to troubleshoot the issue myself, I bought a new relay from Autozone and popped it into the circuit board, but that didn't resolve the problem. The Check Engine light goes on and off (but mostly on), and I've noticed that it usually comes on when there's seemingly a strain in acceleration. I had the computer replaced about 7 months ago (at which time the Check Engine error was "cylinder misfire", all 6 of them to be exact), so I'm hoping that it isn't a problem with the pc again. Could you please suggest what might be the problem this time and how I can correct it once and for all? I sure would appreciate it, and my wallet would too.