1997 Infiniti J30 Headlights

I notice that my right side headlights was inop, high beam low beam not working. I checked the lamp by removing the good lamp from the left side and placed it in the right side. Problem followed. I then checked power to the right side/no-light side; I did not have power to the light plug. While playing with the lights my battery drained, not normal for a short time with the lights on. Anyway, I jumped the car and the right side lights started working. However, for a short time. I cleaned the lamp plug and lamp worked for a short time. Also I do not have any high bean to the bad side, normally if the light is bad you will still have a high beam it’s two different lamps, right? Anyway, I cleaned the ground on the car battery and checked voltage with car off and car running everything checked out. Relay?