Hello dear sir, please take a minute to read the forum rules http://www.tomshardware.com/forum/19-73-forum-rules-read-first
About your problems, is the battery charging ?
You could have a hardware problem (overheating )
Got to asus website and get the voltage, amps and wattage output of the original psu. If the specs are similar, it should work fine. If not, it might be the cause of the problem.
Also you might want to boot in safe mode with networking and try to install coretemp, hwmonitor to look at the temperatures.
Also scan for viruses with malwarebytes rogue killer and adwcleaner if the computer doesn't crash