E203413 drivers - Acer Intel VGA Driver.zip

I cannot locate that model number on the HP site.

If you go to HP.com and go to support, it will have an "identify product" button you can use for it to attempt to find the product. When you know what that is, you can look up the specifications and/or download the manual, which should tell you.

ASUS Has Manual In PDF Format--Give Numbers to Get To Correct Page (in support)

You might have not connected the fan to the right socket on the board.

Yes, that's the model number for your motherboard.