Generally speaking, not really. The game itself is focused on comedy on the past two approaches with RPG elements, and the plot is mostly just to make you laugh intstead of taking it seriously. You can still play it and see how it used to be and get used to the system, but you'll pick it up really quickly.
Nah every consecutive builds on older one. Look at this rather as best one so far. Story is comical, doesn't take itself seriously in first two parts, I bet this one doesn't differ.
https://youtu.be/d8EZob1ZTiw
Also, should I play the first and second one first? Or can I just skip it to three? Thanks!