Well, after chatting with ASUS support it was determined that my notebook is a faulty one, without Touch Pad buttons.
My first notebook and it is faulty. Well, I can not do the RMA stuff right now. I'll see when it will get repaired.
I even asked the guys at the place where I bought it to give me another and keep this one
but they placed lame excuses about passing some amount of days after purchase.
So between ASUS releasing a faulty notebook and my reseller not willing to change it with another,
I got stuck in the middle. I bought it because I needed to use it, not for testing and sending to repair.
Does ASUS test thoroughly its products before hitting the market? It seems not.
I mean, it's the Touch Pad for Christ sake, it can't be that hard to check before sending to sale.
What conclusion a customer could arrive after such a first experience with a product regarding a brand?