If a chromebook will not power on. You can try, charging it, replacing the battery or battery cables, replacing power board and daughter board cables. Resetting it to see if any signs of life appear.
If the chromebook doesnt power on i will try charging it and if that doesnt work I will try reseting it to see if that makes any difference. If not then I will replace the battery with a new one and if that works then we are all set and I shall move onto the next chromebook.
First i would see is the battery is bad by putting in a new one. If the Time of power the chromebook will show it will die then that was the problem. If the CB where to still not power on then i would try a new battery cord. If still not working i will try to see if it was water damage or something to get the CB from not working.
Charge it first, then test the power button, if that doesn't work then replace the power board. If the chromebook doesn't charge, replace the battery.
The things I can think of doing if the chromebook won't turn on would be first try plugging it in, then trying to do the restart, try a different charger if it doesn't work with the first one. then I would replace the battery. and lastly i would replace the charging port.
Just a Media Specialist trying a blog.