Test two as in;
Open the system and disconnect the internal power cables from all the devices including the motherboard and press the PSU BIST button againIf the LED indicates Pass (LED-Green) the PSU is working at this point.
It takes a bit of following does that test info.
Good that you still have the original MB, there may be nothing wrong with it, something for you to do while doing the BIOS/overheating
If you are now unable to get into the BIOS can you do the following for us please.
Shut down the computer and disconnect from the mains,press the case power on button for twenty seconds or so.
Leave the computer to cool down for an hour or so.
Connect the power cord, on powering up the computer continually tap the F2 key to see if you are able to get into the BIOS, if yes, please leave at the BIOS screen for as long as possible to see if the computer powers down.
Good that you still have the original MB, there may be nothing wrong with it, while waiting on the above take a close look at the original board to see if there are any bad caps on it, I understand that you could be using a mobile phone so the pics may not be clear but some examples of what bad caps look like can be seen here pics are on the right of the page.