Sorry to insist, but the most important thing to do first is to determine your hardware specifications !!!
If you run a Live Linux distribution such as Ubuntu or any others of your choice, and if if it works fine "out of the box" : display resolution, wireless, Ethernet, etc... then most of the work should be fairly easy... Except for the gyroscope... ^^
You will have to use lspci, lsusb, lshal commands (you will have to manually install HAL using "sudo apt-get install hal", as it is not install as default anymore since Ubuntu 10.10 if I'm not wrong), then save the result on an external storage, unless you have access to your Windows partition(s), OR simply save them onto your webmail account if you have access to the Internet from your Live Linux... ;)
Your laptop
should have a combo wireless+BT card (should probably be an Intel Centrino Wireless-N 2230)... ^^
So the wireless may be supported with the iwlwifi module drivers (not sure about the Bluetooth part...) and your may have to find out a specific firmware... maybe...
So I speculate the Android 4.3 kernel should be fine IF you enable the correct settings in /kernel/arch/x86/configs/android-x86_defconfig file...
At that level, you may not need to use the Asus kernel file (maybe latter if you really need the gyroscope or if your touch panel is really specific...)...
Finally, It's simply impossible to give you every steps as it would be too long to explain everything, and you'll have to do your own home work... :P LOL
A good start is here :
http://www.android-x86.org/getsourcecodeand here :
http://www.android-x86.org/documents/customizekernelGood luck !