Jackalopes are awesome, fictional animals found in America, that are rabbits with deer antlers. In reality it's theorized people saw rabbits afflicted with slopes papilloma virus which causes horn shaped tumors to grow on certain rabbit breeds heads. I've been in a few tacky shops in the states with "authentic Jackalope" taxidermy. They look cool, but it's not real.
Regarding this dream, the creature seems calm, affectionate, and wanted to be with you. Look at it as a positive vision. To interpret, look at rabbits and antlers. The colour of the Jackalope can effect the meaning, but it could be a couple things, a rabbit can represent sexuality [due to there rapid reproduction] as well as the antlers [a symbol of male sexuality and strength] or it could be luck [rabbit] in love [antlers] it's waiting for you then follows you to the cottage [a symbol of retreat and safety] I feel this whole dream is saying you're at a moment in your life where you are lost or scared and might be choosing to run away to the safety of childhood or imagination instead of facing adult realities. And since a few things indicate sexuality I'm going to say there's someone you fancy or a rather masculine activity you wish to do [example football] but fear rejection so you are avoiding the whole situation. At least that's what I'm getting... Or it could be a really cool dream with freaky imagery, both are plausible.