If soloing a CZ it's best to go for Low CZ. Upon entering the CZ boost away from the big battle waging in the middle, get about 7 to 10km away. Only then select your preferred faction and fly back into the battlezone - less chance of being insta-ganked upon picking a side in a CZ that way. Stick close to your NPC allies and protect them, especially any Condas and Pythons because they have a better chance of drawing the enemy fire away from you.
What shields do you have? Bi-weave shields recharge the fastest but are also the weakest. Prepare your hull and utilities accordingly to make up for that.
Setting module power priorities is key so as not to lose power at crucial moments. Check out this guide on module priorities:
https://www.reddit.com/r/EliteDangerous/comments/31ylr5/useful_tip_set_your_shield_boosters_a_lower/
This is an older guide but it still checks out. It will give you the gist of what priorities you need to set for which types of modules - i.e. some modules are more important than others when in combat and you want to keep them from failing till last when the dookies start circling the fan.
Bi Weaves aren't the weakest. They're only 20% weaker than A rated, but they recharge 50% faster.