The first thing a starship captain needs to know after a battle is the damage report as he may have hullbreaches and of course has lost soldier who have died and are wounded.
Well in BotE, if you are in a fleet, you need to know the following.
http://birth-of-the-empires.de/wiki/ind ... mmandieren
Repairing a fleet is only possible if all ships are in need of repair. This prevents a fully operational ship from being accidentally switched to "Repair".
You can also repair a fleet by switching to "s" = stationing. Then the fleet does not have to be disbanded.
You would head to the nearest shipyard and hopefully a good one is near the front. You would dispatch a second fleet, or better, it was already sent before the battle so you have relief and support as the enemy will be dispatching another group of ships to the same region where the battle took place.
You don't have to disband a fleet and then form a new one, but if you plan well, you might enter orbit, send the damaged ship into the ship yard, pick up a replacement, and move to the next engagement...not waiting on that ship or ships to be repaired.