looks like a fukien tea. Never had one, although I've heard they're difficult. Don't think it will last long in the rocks and top moss. I've seen them in lowes, hd, walmart etc - the rocks are usually glued and there's dirt underneath. I'm not sure if it's too late for a repot, but it may be your only choice to get it into some decent soil. I'm sure someone will chime in regarding that, best of luck.
I've found Fukien Teas to be anything but difficult (here in Orlando). Not sure what they'll think of Delaware though.
I have a couple that started similar to yours - mallsai, or Home Depot specials or something (at least my extended family has a rough idea of what to get me as a gift). I've hacked both back, repotted and they're growing like crazy. One got knocked out of its pot and was upside down for a few days before I found it. didn't miss a beat.
Yours looks relatively healthy (maybe fresh off the truck from Florida?). I bet the moss is just top dressing and it's in some black nursery soil. Those rocks and moss have to go ASAP. And it will probably like being outside in the sun.
it's definitely a tea... I have alot of these... They are rather easy to maintain, but don't like the cold. They would have to be, to sit on a shelf at a departrment store, with no water / horrid light, for that long and still manage to live.
Personally, I would not repot this year... just remove the rocks and moss if you want (will not hurt it right now to leave it on). I agree, I would put it outside... but don't put it in the full sun!!! You have to be careful moving a plant that probally hasn't seen daylight in a while into the full sun. Often they will drop their leaves... I would put in the shade, for a couple of days, then partial shade, etc.
Water about twice a week... the soil that it is in will be fine for now... I often grow mine in a non-bonsai soil, just because it holds moisture longer. They kinda like having damp feet, just not soaking.
They will put out little white flowers, that really don't take any energy away from the tree... The dwarf variety will put out berries, I am told oolong tea is made from. Yours is not the dwarf variety.
Photo is of the one I recently wire and had a thread on in the tropical section.