Epirks

Hello, my ls400 1995 starter and fuel pump wont engage when turning the key, battery is full, starter turns when turing it on relay, electricity isnt coming out from fuel pump relee, it just bought it, it didint run, put on a new battery and then it started, i rode it for a bit thrn it just shut off and the starter and fuel pump sisint engage again, sometimes at random times the starter will turn when turning the key and right now same issue that i stated, the starter and fuel pump wont engage, i havent changed anything in this time, maybe an eletrical issue? sorry for my english isnt my first language.