I see content aware listed but not the other two Picture editing software | Adobe Photoshop Elements 12 - Features
I do see refine hair edge here Adobe Photoshop Elements 12 - Buying guide
Liquify seems to be Photoshop only and the enhancement in CC only Photoshop Help | Liquify filter
Photoshop elements 12 has
Content Aware Fill
only after one does a panorama
Does not have content aware fill like photoshop does from the fill dialog
Pretty much the same as in photoshop
Has a Liquify filter, but not as many features as photoshop's liquify does
You can get a subscription to photoshop cc for 9.99 a month
That's actually a good question for the Elements forum:
As you'll see, not too many pros here are familiar with the emasculated Elements application, The always helpful JJMack just did the legwork you could and should have done yourself.
Remember: You are not addressing Adobe here. These are user forums.