Try changing your solenoid...! It sounds like it's stuck in the connected position. Try tapping on it with the handle of a screw driver. that sometimes works. Sometimes it's the easy and cheap solution to a problem...!
It happened to a friend of mine a long time ago. He said that it was the problem.
Let me know if that was the problem.
My e-mail address is (siredward57@new.rr.com).
This could be a bad ignition switch, ignition relay, or ignition fuse.
Starter Ignition Neutral switch
Your neutral safety switch-try putting car in neutral and trying it
Check fuses and relays. If you have power coming from the ignition switch but not getting to the starter there might be a bad fuse or relay or wire. Also make sure you have the wiring correct to the starter since you just replaced it.
Bad ignition switch or starter solenoid
Could be a faulty ground wire. Not very rare to happen
Take the steering column housing off (usually held by 4 screws from the bottom) and remove the starter cap from the back of the ignition cylinder. In a Nissan, the ignition cylinder usually has a T shaped pin which turns the starter. if you can start your vehicle by turning the starter cap with a screw driver, you probably don't have an issue with the starter.
The starter solenoid, or ignition switch is bad, and either one needs to be replaced.
Starter's gone, have it replaced.
I replaced the battery in my 1993 sundance noe the starter will not ingage
might be starter relay, or the crank circuitry from the switch or to the starter from the relay. I would trace back from the starter to the starter relay back through the neutral safety switch to the ignition switch.
Try an ignition switch.