Pc not turning on after tower change and aio cooler install

[ol_ZoZo]

Initial Issue I rebuilt my pc switching it to a new tower and adding a 4pin aio cooler.the tower is a 3pin 5v and my mother board (bf360m) is a 4 pin 12v so i purchased an adapter allowing me to convert the 3pin to the 4pin. Heres where the problem begins after setting everything up by reading the manuals and watching some tutorial videos, i plugged all the cables in exactly how they once were.and followed the guide for the aio cooler. Once everything was set up and i plugged in my 24pin psu cable into my motherboard. It wount turn on, i tried the paper clip method sticking it in 2 of the pins on the 24pin psu cable and the psu kicks on. The psu fan works and also all the fans along with the lights plugged in to the adapter while using sata cables plugged into the psu work. The cpu fans dont work though, the motherboard is not getting any power, and wount turn on. The manual led switch on the front io pannel works and i can cycle through and change the lights of the fans when the paper clip is in the 24pin cable. The motherboard is not responding at all there are no lights or beeps or indicators at all. Im using a 600w psu which could be to low of a wattage to power all the parts.or my motherboards is dead. Also i could of plugged in something wrong but im pretty sure its all correct, i dont wanna buy a new psu without knowing the exact problem please help

Pc specs
Tower-Musetex mid tower (3pin 5v)
Motherboard- bazooka bf360m (4pin 12v)<using convertor for tower
Cpu-intel i5 8400
Gpu-radeon rx580
Aio cooler-enermax liqmax iii
Convertor-deepcool rgb convertor 5v to 12v
Psu-600w with cables already connected inside battery.

[PeterOz]

do you have old cooler ?
Removw AIO
connect old
test

[Rustys]

following instructions else were closed.