That one on 0:02 could be just two muted pops, a muted slap, and then an unmuted pop. The two muted pops are on different strings, accomplished by wrist rotation.
Like this:
Code:
G|---x---5-----------
D|-x-----------------
A|-------------------
E|-----x-------------
So: pop (muted), pop (muted), slap (muted), pop
EDIT: After watching the videos of the guy playing, I see he's using double thumb rather than the technique I discuss in this post.