You don't have a slider for airplane mode? That's odd. It's not an HP feature, it's s standard windows 8 feature. Sure you looking in the right place? Look here, this may help: http://www.eightforums.com/tutorials/5355-airplane-mode-turn-off-windows-8-a.html
I have a 3 year old Compaq with Win 7 also made by HP. They use an application that controls the Hp specific function key abilities, which can be uninstalled. Sadly, they didn't use that on the newer systems but bundled the functions in with the system somehow.
Dont be too hard on HP just yet.. these configurations issues may be fixed yet.. I will keep looking and report what I find. Other than these issues I haven't had any major problems with my Compaq and Pavilion. They are budget systems and work well for the price. This HP Pavilion G7 laptop was 425.00 US dollars ( Best Buy) has an AMD A8 quad core, 8 gigabytes of Ram, 512 dedicated video ram but uses up to 4 gigabytes shared system ram for extra video power. 17.3 inch screen. It's my gaming laptop and plays Black Ops 2 and FarCry 3 ( the latest 3d games) on high settings with great frame rate. Other than that Windows 8 has some quirks due to the new user interface you need to get used to, but it works well if you can get past that.