I see a ship date of January 13, 2015 so check your receipts.
The fact about what it does when plugged in, is why I'll write it needs repair.
Just in case, do the reset at link to follow.
I have a Lonovo Thinkpad E555 that has a AMD A6 processor running Operating System Windows 7. The Laptop will start to power up and then cycle and try again. It will make it just past the Lonovo screen then cycle. If you hit F12 you will get the boot from screen and if you are quick enough you can arrow down but even if you select something the machine will shut down and attempt to boot up again. One more issue is it will do this on battery but if you plug it in it will not even try to power up. What could be the issue with this machine? Thanks in advance.