I meant more along the lines of feel free to get in touch with me, sorry. I'm no "expert" though so keep that in mind. I've just had the anemone for a little over 5 years, just having the thing in a tank though doesn't make me any more or less knowledgeable than others per se, just have my own experiences to recount.
That gooey substance may have been a spawn.. generally speaking though you'll know if it's a spawn as the tank will become one large cloudy mess and there is .. how can I say this.. a rather distinctive smell that goes along with it. The spawning events in my tank have almost always coincided with an equinox or a solstice. Which may or may not be a coincidence, but something I've noted that if it's happened, it's always been within a week, or maybe two weeks of either. I think for the most part, more events were around solstices.
As for splitting, some do split, some don't. Mine has never split.