Animals also take care of their young, they often mourn those who died.
Plus, your incredulity at the thought of "love" between single-celled organisms is without basis. Love is a subjective state which we can only infer. We (well, some of us, not you I guess) think it's real because we've felt it at a level to which to describe it as not real would do violence to our conception of real/unreal.
And then we infer that it's felt in other organisms around us based on their actions.
Now, a single-celled organism really doesn't have a great range of "actions/behaviors" it can show us. Therefore we don't get to see it. This says nothing about whether it's experienced or not.