Well, STO might not have a 14-day trial, but there is the free demo, which covers the Tutorial plus the first mission.
As for the referral keys, I'm happy to give mine out to anyone who wants them, but I'm not going to start spamming people over it - I've heard of people putting ads on Craigslist, or sending spam to every e-mail address in their contacts. Seems more than a little excessive to me, not to mention darned annoying!
No in-game reward is worth turning yourself into the online equivalent of some idiot in a call centre ringing ad nauseum
to flog double-glazing...