Will the solarium GOOD ending ever be cleared?

[BaneOfGiygas]

Okay a few things. How does one kill the ill looking fellow quick enough?

Gratuitous laser fire, primarily. Alternatively, you can just take the key from his pocket like you would with any other piece of gear on a spaceman.

What is the new security card in the martian ship for?

It isn't used for anything in particular, it's a reference to one of the Terra 8 logs.

And is there anything to be done about beepsky/ beepskys dad?

Not as far as I'm aware, although I haven't really tried anything relating to that.