Power supply module is being powered by the arduino

i started a project to try and pilot a 28BYJ-48 5v stepper motor with its ULN2003 board from an arduino Nano, along with some LEDs and buttons.

I've been told that powering the motor from the arduino was a bad thing, so i took an Elegoo Power MB v2 power supply board.(it seem you can't buy it separately, so i could only find few references : Power Supply Module 3.3V and 5V - Hackster.io). I plugged its DC Jack with a 12v 2A power supply (it was for a hard drive i think), and i got now several concerns :

  • the chips on the elegoo gets hot! after 5~ minutes, it will stop working and go on and off as it cools and heats up again. The arduino doesn't however. I've sticked on little heat dissipators but it's not enough.

  • When the arduino is plugged through USB, the status LED on the power supply is being lit, even with all its inputs unplugged (!!!)

  • At first, the status LEDs on my motor are all off, but when i use it, 2 won't turn off even i stop rotating the motor.

Parts

the supply jumpers are set to 5v, the arduino's Vin is plugged to the +, the gnd to the - of the left part, and the motor's board are plugged the same way to the other side.

how can i fix this? thanks

to clarify, the circuit """works""" as it is, but i don't want to take the risk to have it fry if it's fixable....