"Added Right/Left arrow keys shortcut to cycle your colonies from Planet View"
Yes, edited to add the word 'hotkey'.
(1) In the upper left corner it contains the history (details) of the battle. Would it possible to clear this history out every turn?
We can clear this or make it obvious the turn the messages occurred, so there is separation between old and new.
(2) When there is more than one sector with a battle, it sometimes starts you in a sector with no battle (there might be a hostile there). If I click done a few times to pass the round and nothing is going on I will hit the spacebar (auto resolve) and it will jump me to the sector that has a battle. Unfortunately that battle has already resolves a few rounds (because I was passing in the other sector??) and it also "auto locked" the task force button by default. I had two task forces in there (each had one ship), and it took me a few rounds before I realized it was locked and promptly unlocked it.
If you haven't "Engaged Sector", the AI will pick the first sector with hostiles and show it to you. While in Auto-Mode if the current sector situation changes and there are no hostiles, it will try to find the next hostile sector to show. What may have happened is you hit auto but it took several rounds before the sector situation changed. To switch quickly best to use Com or Click the message 'combat in XX sector' in the combat log. If multiple battles are happening at the same time you can only be in one sector at a time.
(3) Instead of using clickable text in the upper left corner, would it be better to have buttons across the top (or side) of the screen so we can move between sectors when there is more than one engagement?
Low priority but we can think about improving this. What is the main thing that you don't like about it now? Hard to notice?