When the motors are powered and enabled but not ordered to move, they hold position, so you are not able to move them by hand - that is perfectly normal. When you send a movement command all motors are enabled and if they dont move they at least hold position. There is a button with "motors off", after clicking that then motors may be disabled and probably can be moved by hand. Again this is normal. You do hear that "cloc" that means motors get enabled.
Perhaps Z stepper driver is burned or the motors coils are tied wrong. You need to exclude each of the situations.
For example use the Z driver with the X or Y motor and see if the driver itself works. If it doesnt - thats the problem, and then if you burned your first stepper driver: welcome to the club!
And recheck with a multimeter if the Z coil pairs are tied correctly and alike. Perhaps when you tied them you inversed the coils, e.g. first coil 1st motor in series with the second coil of 2nd motor, in this situation they perhaps hold position normally, but when ordered to move they are sort of trying to move in opposite directions - hence they are trying to fight each other and since they have same current they neither can "win" over the other.
Perhaps Z stepper driver is burned or the motors coils are tied wrong. You need to exclude each of the situations.
For example use the Z driver with the X or Y motor and see if the driver itself works. If it doesnt - thats the problem, and then if you burned your first stepper driver: welcome to the club!
And recheck with a multimeter if the Z coil pairs are tied correctly and alike. Perhaps when you tied them you inversed the coils, e.g. first coil 1st motor in series with the second coil of 2nd motor, in this situation they perhaps hold position normally, but when ordered to move they are sort of trying to move in opposite directions - hence they are trying to fight each other and since they have same current they neither can "win" over the other.