When you have power going to a new solenoid and no power to starter what is wrong

Possible, but not likely. Hold the key in start position and check if you have power to the small wire going to the starter solenoid (on the starter motor). If this wire has voltage when holding key in start, then you know the starter has to come off for testing. Either a bad starter motor or bad solenoid.
If no power on the small wire, then you will have to diagnose the starting circuit. Something wrong between the ignition switch and the starter solenoid.

wire on starter solenoid connected wrongly

I would say inside the starter, somehow I think, the arm that pushes the gear out to the flywheel is binding up...and not letting the gear retract back like it should...so the switch inside the solinoid thinks it should still be spinning the gear, so it dont stop applying power to the starter motor..

There are no moving parts in your fuse box. The clicking sound is the contact bar closing in your starter solenoid.Follow your positive battery cable to your starter solenoid. If your push your starter button and you hear a click in the starter solenoid , then your starter button is good. If you take a piece of wire, a screw driver, or simply touch the the two power cables on the the starter solenoid together you will be putting power directly to your starter. If you jump the solenoid and the starter works you need to replace the starter solenoid. If with direct power to the starter, you tap the starter with a plastic hammer and the starter works, you need new starter brushes. Anything else wrong with the starter and you will need to replace the starter assembly the manufacturers do not sell replacement parts for there starters (only the brushes).

The headlight is supposed to turn off when you push the starter button. If you push the starter button and the solenoid clicks, the button is good. If there is no power going to the solenoid you can try disassembling and cleaning the button. Take a wire and jump the two posts on the solenoid or touch the two cables together. If your starter works, then you need a new solenoid. If you hold the starter button and tap on the starter with a plastic hammer and the starter works you need new starter brushes. Anything else wrong with the starter and you need to replace the starter assembly , unless the manufacturer sells replacement parts so you can repair the starter. most manufacturers only sell replacement starter brushes.

Take a wire and jump the two posts on the solenoid or touch the two cables together. If your starter works, then you need a new solenoid. If you hold the starter button and tap on the starter with a plastic hammer and the starter works you need new starter brushes. Anything else wrong with the starter and you need to replace the starter assembly , the manufacturer does not make replacement parts for the starter.

If you push the button and the solenoid clicks , the button is good. If you short across the cable terminals on the starter solenoid and the starter works, the solenoid is bad. If you hold the starter button and tap on the starter with a plastic hammer and the starter works, you need starter brushes. If anything else is wrong with the starter (bad armature) , you need a new starter.

Make sure you have all the wires right.The clicking is your starter not engaging.Was the starter new?Did you bench test the starter before installing it?

sounds like you are hooking up the starter wrong. the positive goes to the starter main terminal from the battery. the ignition wire goes to the s on the solenoid, which activates 12 volts when the ignition switch is turned on which causes a magnetic field
inside the solenoid and joins the connectors
in the solenoid to the main positive wire from the
battery to the main starter unit brushes/armature inside the starter unit. If you have a constant
12 volts from the ignition wire it will keep the solenoid engaged. If you put the main positive wire on the wrong solenoid terminal it will immediately engage the starter. try putting the main battery wire to the correct terminal or perhaps check the ignition wire for a short or constant voltage to the solenoid.

hi what is it doing? did you try the starter solenoid? and do you have power going to the solenoid and to the starter. jump the big power wire going to the solenoid to the small wire.and check if the starter turns the motor over.it may be the starter relay.or a bad switch.