as for the empire menu... there is a thing, just not in one place, if you mouse over the counter for each resource, you have a break down of you resource income from each planet/asteroid, as well as total income against fleet upkeep. also, mousing over your credit counter shows your longest effecient trade route.

as for each kind of planet and how many, i dont believe there is such a thing yet, other than, again, looking at your income rates.

alternatively, if you go to the diplomacy window and click on your tab, there are a number of statistics there that give a general idea of how effecient your empire is... as i understand it, the closer to one you are the better...

as for other general facts, i dont know what you are talking about exactly so i cant help.

i agree with the matter compression affecting refinery ships, just makes sense.

and i agree with Varsi1, refineries are designed to work  with neighboring GW's as well as the GW of the refinery itself.... you are also supposed to have more than one in a system and have a large number throughout your empire...

however... it would make sense that refining your resources would give you a needed boost on smaller maps with only a few planets.

artifact for alligence... could be good, there is an artifacat, bio-mechanical planetary AI, increases income and resource generation from all of your planets due to increased effeciency over the extent of your empire... i dont think it would be a stretch to say that a side effect of said effeciency would be to increase alligence...