The problem with Low Intensity CZ's is that you can often find yourself outnumbered due to the lower spawning of ships (allied obviously), so contrary as it may sound, many people recommend High Intensity CZ's as you are less likely to be outnumbered, and also less likely to be the highest priority target for the enemy.
Gotta say I found this to be the case when I was noob.
Low CZ would thrash me. High CZ had more going on, but somehow it flowed better.
A note to OP - these combat zones are what pass for wars in Elite. The two minor factions you can choose from have gone to war because they have equal influence in this system, and they have different government types.
At the end of the war, one asset will change hands. An asset could be a station or a surface port, or it could even be governance of the whole system.
If you stay in the system for a few days, you will see one faction win something.
You can also find out about the war and asset changes in the news feed in the center panel.
When you see an Alliance faction, you should always fight on their side. Otherwise your actions won't count for anything in the long run.
Don't forget to cash in your bonds under Station Services> Contacts> Combat Bonds.
Don't bother cashing in Fed or Imperial bonds - they don't really count.