Loki's Jedi mod adds some new armor, but also reskins some of the robes, specifically it says the Jal Shey.
Movie Master robes just reskins ONLY all master robes and adds a few.
Lastly the Armored robes reskins all robes (master and padawan), which means it will have issues with Movie master robes, those that are reskined will overlap. So this would only be somewhat compatible.
I'd suggest not getting the movie master robes, or just pulling out only the uti files that add new robes and ignore the reskin element.
Also the prequel robes will have issues with the Armored robes as well because it is only a reskin of the same robes.
Not to mention the textures may overlap in odd ways, though that's not something I'm very familiar with.
On a glance, all the armor mods should be compatible.
For the armor mods, their descriptions are not as detailed as the robes, because they include a larger list that is a bit more diverse than padawan and master robes. So you'll just have to download them and check the readme's for that.
In the readme, you should find information about exactly what is added by that mod. My suggestion is to make things easier for you and not get anything that reskins or modifies the same item. Take the largest mod for robes, Armored Robes, and leave the others, this would be the simplest.
Hope this helps!