You wouldn't like that spider when it's angry!
Fine-sized creature turning into Large-sized while raging is just good
Huge (or even Colossal ) creature - into Large - is just weird: what's up, it get smaller while raging?
And even worse: it says "height only increases by a foot or so";
if creature was smaller than Large, then it's OK;
if creature was already Large, we can say it's "foot or so" taller, but still Large
if creature is Huge or larger, then there is no excuse
They are in Chapter 7: Equipment, so, unless there are some RAW which says they aren't, they are equipment!
I will say more: since services are in the same chapter, they are equipment too, and could be suddenly "found" by Shade Hunter of sufficient level
No, it doesn't - class description don't have any mentions of Powerful Build
Doesn't Entropic Creature template change type to Outsider for any living creature?