You need more cap skills, and laser skills. You can never have enough. Controlled Bursts is pretty important for Amarr.
Consider opting for a laser crystal that reduces cap use a lot (can't recall which ones are best for low cap). EDIT Looks like Standard used least cap.
Consider using lasers that need less capacitor if possible. Or maybe pulse lasers, can't recall which laser type requires more cap in general. Pulses are more powerful though, beams have more range.
With stasis web, you kill enemies faster, so you don't need to use so much cap for killing enemies.
Remember you don't need to use armor repper constantly, only when you need it. If you fly correctly, you don't get hit much, and that saves considerable amount of cap.
Afterburner is not needed constantly either, though this depends on relative position/direction and whether you need speed to avoid enemy fire.
EDIT After some reading... you may want to redo your ship loadout. Use pulse lasers, specifically Dual Light Pulser Laser. Much easier on the cap. Since you will be fighting at shorter range, you will want to use a stasis web to snare enemies. You will be killing enemies faster with pulse lasers too, as they're more powerful. EDIT Up to Small Focused Pulse Lasers once your skills are better and your fitting skills are better.
_O I will save it as much as possible.T_T