Both of your 1984 Nissan rear lights do not come on when the switch is turned on The front lights come on Does anyone know if this is a fuse problem or what the problem could be?

The taillights are on a separate circuit from the headlights. If the dash lights aren't coming on either it's probably a fuse, but why did the fuse blow in the first place. If the next fuse blows immediately, check for a damaged wire or bulb socket.

There is also a pinkish relay attached to the passenger side taillight, Check and make shure it works.

check the main feed fusible link you cant go by visual inspection the fuse is inside the plastic case of the link where you cant see it I fought this problem for weeks and I replaced the fusible link and bingo problem solved!