Anyone know what the birth date -> birthsign relationships are? I.e. once you've set your birthsign, what date ranges that gives you for birthdays? It would be nice to RP a birthday celebration when appropriate.
As for characters, for some reason all my girls are young and the men are older. I don't believe I've taken any of them into 3E435 yet, but then I don't sleep or wait much - not into RP'ing sleep, and I prefer to go do something else rather than just kill the time in situ, especially for long waits like the "Shade of the Revenant".
Yes.
Here is how each birthsign lines up to a TES month: http://www.uesp.net/wiki/Lore:Astronomy#Constellations
And here is how each Nirn month lines up to the earth calendar: http://www.uesp.net/wiki/Lore:Calendar
My character for example, was born in Rains Hand (April). She was therefore born under the sign of the Mage. Hope that helps!

Edit: Oops, ninja'ed by Alecto above with another fine resource.