At this point, I'm actually unclear as to how many I've received, but they started at least two days ago and my pet is still in the resort. I've deleted dozens of them at this point and I don't know when they'll stop, since I don't know when my pet actually does get out of the resort XD

Hey Alana! There is currently an open topic for this issue posted below. Feel free to post there if you like. I have reported it to programmers!

http://subeta.net/forums.php/read/797454/