In the futur additions, It could be useful to have a place somewhere where your last battles results are logged.
Something like a pilot logbook/history. So when you log in you can directly see the result of your last engagements.

Now we can find the battle results because there are few players. But with many or a larger map it's going to be complicated.

Something like this?
http://chronicles.kosmosinsel.net/mensch.php?id=20
(you have a link to your character profile on your fleets page)

EDIT : hum... I think I know what you mean.
You're right : there's nowhere where you can find the battle logs of ALL your [mostly passed on ^^] characters...

Nice

Nota : They're not dead in vain, I just try to find the one human that is capable to breath in space ... no luck for now.

aaaah science ...

Breathe in space...
I hope you will succeed: you have already proven that human can burn in space, so I think you're on the right track!
Don't give up! ^^