My timecutter z480 won't start using the ignition. Can jump it over on solenoid and it runs but the blades won't engage and key won't shut it off do you know why

Sounds like you have a Relay that is hanging up

No, It sounds like you solenoid is bad. Just because it clicks does not mean current is going thru it. A Volt meter or test light can be used to confirm.

Sounds like the solenoid is bad. Most solenoids connect positive + from the battery. One side will read 12 volts (with the black wire of a test meter or test light. (The side connected to the battery). Energize the solenoid (loud click) And with the key held, check the other side for voltage. No voltage, bad solenoid. Be careful when you buy a replacement. Many look the same but do different things.

I would check the neutral safety switch next. There may be a starter relay in the fuse box too.

each lever has its own safety switch one of them has failed jumper each one to test them

you may need to check that your blade engage sensor is working properly, and that the one on the seat is working properly. if not that, then check the ignition fuse connections. they may seem to be connected properly, and still not be seated properly. good luck.

Some mowers have a mowing reverse safety switch. That safety will kill the mower if you try to reverse with the deck engaged. Some mowers even have an override button that has to be held while backing up. As for the battery thing, no matter how much you charge a bad battery you will not get it to start a mower if it has a bad cell or two. I would use a multimeter to check battery voltage, but the end result would still be the same, replace the battery.

I hope this gets you going again.

If you are jumping the solenoid and it cranks but wont start leave the key in the on position and give it a try. Try replacing the solenoid and the wires conecting it to the battery.

Check to make sure that when you turn on ignition switch the solenoid is receiving power to engage the pinion gear and feed power to the starter motor. It is new so I suspect it is not receiving juice. U may have some bad connection causing the intermittent issue. PIA.