If the multimeter shows a reading on the pins that connect to the battery then you know you have current flowing through the board and making it to charge the battery. I check this to rule out fried board quickly. Also, an easy quick check is to look in all the USB ports and make sure none of them are damaged. if two pins in any of the USB ports are bent up and touching each other the computer will short and not start. Simply bending them so they no longer touch would resolve such an issue.
Good luck!