Distracted by a right engine fuel pressure problem; the pilot of a BE-76 made his initial approach to Runway XX vice Runway YY as cleared. The Tower advised of his error and he landed safely.

Narrative

This problem was not reported by me to Air Traffic Control since it wasn't an engine failure but it could have been. During my approach; ATC told me the airport was at 11 o'clock; proceed direct to the airport; maximum forward speed and make the approach close in to keep me in front of an air carrier aircraft inbound. I acknowledged and got transferred to Tower. During this I got a Right Engine LOW Fuel Pressure indication for which I got out the checklist and started troubleshooting.I then lost situational awareness since I was already preparing for the worst; the need to do a single engine approach and declare an emergency. I looked to my left side and saw a runway and preceded direct thinking that was the intended runway of landing since I thought I was on a base already but instead I was on a modified base/downwind. I was cleared to land and about three to four miles out. At this point I was proceeding on a straight in Runway XX instead of Runway YY. At this point ATC advised of wrong alignment with runway and directed me to the correct one. After landing and turning off the electric fuel pump of the right engine it started to feel like it was starving of fuel and I turned it back ON and proceeded to the ramp.