I have been looking to find some reading material on why certain fabric weaves are used in certain applications, like why use a 2x2 vs a 4x4, why use certain sizes of spread tow in some applications, etc. 

Is there anywhere that I can start to get more info on material selection and the advantages/ disadvantages in situations?

Thanks!

Honestly it is all about optics in most cases. You may not use plain weaves in very curvy parts, but it is possible of you want to. Making parts that only have to resist bending forces in one direction, you may use only unidirectional cloth for a slight weight advantage, but in this cases construction techniques are far more important than weave selection. Spread tows can be used in hyper light weight sandwich constructions like RC planes, where you try to create the thinnest skin layer possible. That's because you can get very thin spread tow weaves, like 60g/sm. But in 99% of all cases the look decides what type of cloth is used. At least as skin layer.