How do you get better score and ranking?

You can gain a better score through crystals, relics, units, and workers. Power is gained through units and workers. Every 15 power you increase in rank(the symbol) You can 1 power for every 10 soldiers you have, and I think it's 1 for every 50 workers too, but I forget exactly.

So outposts do not have any effects?

not for your score no

+1 for every conquer
+1 for every 100 workers
+5 for every Crystal
On the new battledawn its
+1 for every 30 infantry
+1 fo every i believe 15 vehilcles
+1 for every 10 tanks

Ex: I have 3 tanks 5 vehilce and 11 infantry, I gained +1 to my score
Easy way to remember it is every 30 workers that is a part of your military you gain +1 to your score.
Tanks = 3 workers, Vehicles = 2 workers & infantry = 1 worker

on the old battledawn its
+ 1 for every 10 units

They did the new way for scoring military to prevent people from just boosting their score by massing infantry.

Oh OP's USED to be part of the score but not anymore due to people just mass producing OP's just to icrease score, same w/ every 1000 oil and metal.

you are kinda a bit off =P
u get 1 power for each conquer1 for each 25 workers
3 for 10 tanks
3 for 15 veh
3 for 30 inf