Fixed in v.62 
Bug
They move all over. They stay at each star system for 1-2 hours, then move on.
They stop tracking you once the warning appears. This is necessary, otherwise it would be impossible to dodge. In this particular wave, it’s a happy coincidence – you wouldn’t be able to survive otherwise.
It’s random. Theoretically, you could have 50 in the same system (don’t hold your breath, though).
Correct. That’s a limitation intended design decision.
Why did you apply the update? Were you having the same E_NOINTERFACE error as @stefan6u?
Already fixed. It’s caused by an incorrectly saved texture.
Why not? Chicks are always ejected. What’s special about that wave?
Sorry, mistake. Medals were renumbered 
Windows caches icons so they can become stale sometimes. There are ways to clear the cache but it’s more trouble than it’s worth. Google it.
Try installing the Windows 7 Platform Update: https://www.microsoft.com/en-us/download/details.aspx?id=36805
Let me know if it fixes the problem.
If you try to gift to a player that already has one, then you’ll receive a message saying so (you have to select the CHL first though). I can’t remember why I did that – probably because the contacts list doesn’t have access to CHLs. Will revisit this.
I just count 365 days since your registration. So, yeah, it would not work correctly for leap years. Allowed to stand. 