I can't see your pic either, some times it's easier to just attach it to your post by hitting the "go advanced button" and scrolling down to "manage attachments." That's what I usually do because uploading to the net is a pain for a quick snap.
In any case, congratulations!
Suncorals have two ways of spreading: out from the base and by shooting out babies. I think it means they are happy. I really like mine and I don't think they are that hard at all to keep if you do a few things right. It was one of my first coral and is still a fave.
Your timeline is on point. If they are well-placed and cared for it's about 6 months before they start sending out babies. Once the babies land, it takes kind of a long time for them to get going, as they have to start from scratch, but eventually they will make a new colony of the spot they found is amenable. You might want to pick a couple that you think have a good chance, and you like where they are, and start feeding them.
If you want to confirm your ID without a pic, I would just look at some pics of aiptasia and mojano to make sure it's not that. If you want to go a little deeper, this link has many Hitchiker nems that could look like a sun coral
http://chucksaddiction.thefishestate.net/ but I wouldn't worry too much since the time is right for yours to breed and you have a good comparator right in the tank to see if it looks the same.