A couple of random thoughts.
- You can't hide.
The laws of Thermodynamics dictate that any ship that has enough power to do much of anything, much less keep a living human crew alive, thrust, fight, communicate etc. will be warm enough that it'll be visible. Something like an "umbrella shield" or a cooling system will just make things worse. The shield is mass that blocks your view too, and could have been fuel/weapons/gear instead. (and it won't really work) and cooling systems will ultimately just add more heat in the work they do to try and chill something that you don't show up against the backdrop of space.
We already have IR sensors/cameras that can detect stuff at millions of miles that's fractional differences in a degree. And in space, with the budget, making folding teloscopes out of mylar mirrors etc. to search for things/enemies is trivial as compared to all the other stuff like power, propulsion, weapons tech.
- Ship types will be dictated by acceleration and economics.
We have things like naval vessels, fighter planes, bombers, tanks, helicopters, ultimately because they have different payload/speed/range/capabilities that can't all be combined into one type of vehicle. In space, this may not be so. Depending on the technology for propulsion and power, one size of craft might easily be the "sweet spot" where bigger isn't "better", and neither is smaller. Or maybe "as big and powerful as possible" only divided by the range of your force projection/number of places you need to be or cover is where the economics of the thing point to. This could totally kill the "carrier and fighter" dynamic. And with acceleration, there may be two types to consider. High thrust that lets you accelerate quickly, and high efficiency thrust that lets you accelerate for long periods of time. Most space propulsion systems as we understand them now tend to do one or the other, but not both.