Google Spreadsheets - IF with more that three argumtents

I'm currently working an a very simple project management template. The Idea is that after entering a start and end-date collums will show up as a very simplistic gantt chart (conditional formating).

Everything works fine, until "year" comes into consideration. Since it is a several years lasting project and we work with calenderweeks it is essential that the work package is only visualized in its specific year.

So I came up with the following (rough'n'dirty) formular (example from cell K3): =and(if(K$2>=$F3;1;0);if(K$2<=$H3;1;0);if(or(right($E3;4)=K$1;1);(right(G3;4)=K1;1;0)))

This is the document: http://ift.tt/1NCPupQ

Problem: GoogleSpreadsheets only alows three arguments with IF. But I do not know how to structure it otherwise...

Thankful for any suggestion!

Cheers, Matt