Thanks for the info re:fighters. In the battle I was involved in (It's still pretty early in the game, I just researched Cruisers, for example), I was mostly defending one world near a wormhole, so it was easy to use 'supportless' fighters. I can see where it would be problematic later on. Fortunately, my new 'All PD' ship seems to be doing a good job of protecting my carriers and attack ships, so they can close to fight. Next -- trying to board and capture.
Other question:How useful are the 'exotic' weapons (weapon&engine damage)? Is it useful to build ships which use them, or should I stick to bigger guns and missiles?