Maybe it is just me, but I've seen this issue multiple times where a programmer used a regular expression thinking they were clever, only to have it backfire later when there was some corner case not covered by their regex (which likely would have obviously been caught if they had just taken the time to write out each case as an if statement). You're usually just gaining complexity in exchange for fewer lines of code, and I'm not sure that is always the best tradeoff. Something to keep in mind when deciding whether or not to use regular expressions.

With that being said, your list of things to know are all things I have to know for my job (these are things almost all programmers should know, in fact) and I would not consider myself a low-level or systems programmer, just an application programmer.