I like but are you going for that limping/skating look? It would look less awkward if it was like 'buddy90's' one 
Thanks.
As for the problems with my sprite: As stated in the previous post, the small 16x16 dimensions provide little room for a 4 frame animation in that perspective (Translation: No, it's not intentional).
No matter what is done in edits to the sprite for the "standing-still" frame in the 4 frame animation, the legs will either be close together (creating the "skating effect") or become disproportional (legs become messed up).
The 2-frame South-bound animation in the original first post I made is finished and is the one I'm using. I'm looking for advice and edits on the North-bound and East-bound sprite animations.
Plus 2-frame animations was what I was set on making while starting the project. I will gladly accept 4-frame animation advice if it's possible and simply convert it down to a 2-frame animation later on.
[The Two Animations I'm Really Looking for Help On:]
Two things wrong with buddy90's animation:
1.) It's in the wrong perspective. It's moving forward towards the screen, not down it.
2.) The feet are never separated in any frames (and a few pixels off here and there, but that's okay for a base sprite).
It looks great for a base animation that's needed to move towards the screen, but it's not at all what I'm looking for...
I can definitely put it to good use later on though, implementing it some way or another.
However, it's back to the drawing board for now.