A single reactor of your current design is more than your weapons need.
To take apart you design and explain, we see this line:
Twin 25cm C4 Ultraviolet Laser Turret (2x2) Range 320,000km TS: 10000 km/s Power 32-8 RM 4 ROF 20 16 16 16 16 12 10 9 8 7 6
Therein, we see the Power 32-8 and the ROF 20. The ROF is the 'rate of fire' and is the amount in seconds which your weapons need to load. This can be decreased with further research into capacitors. The Power section tells you that your weapons need 32 points of power. However, they charge for 20 seconds - meaning 32 power required over the course of 20 seconds. That results into a requirement of 8 points of power every five seconds.
This is important because reactor output is measured in five second increments.
As you have two of these turrets, you need 2x8 power per five second increment.
Your reactor supplies you with 22.5 points of power each five seconds - Adding this up you have a surplus of 6.5 points of power. As such, your guns will charge and can fire.
A tactical thought you might want to put is into your reactor design - You have a single reactor, meaning a single component that can be hit. If this reactor goes boom in combat, all your weapons are offline. If you build smaller reactors that produce less power but put more on the ship, you have a better chance of having your firepower only reduced, not entirely knocked out. However, the design as it is, is basically capable of combat.
