First, I'm very wary of using tarot as a way to divine another person's feelings about oneself. A lot of distortion creeps in. It is very hard not to let the ego get in the way of the reading, as, of course, we resist objectivity in dealings which have to do with others' impressions of us. Especially when we want something of or from them!
And in the end, any actions we take based on these readings are likely to fail, as we're coming at the situation from a very biased perspective. We haven't asked what the next step should be. The fact someone likes or doesn't like us at the moment might not be as important as the flow of future interactions. So I would suggest that maybe the question itself isn't the best approach. I personally would try to choose a question more along the lines of, "What is the potential of this relationship?" and "What can I do to help make this happen?"
That said, I can also offer some thoughts on 3s. One of my keywords for 3s is "foundation." If you think geometrically, three is the smallest number of points you can connect to make an enclosed space (of course, this does not include the possibility of connecting points with curved lines, which actually reflect the connection of an infinite number of points). One is the spark, the initiation, the seed. Two introduces the first tension, duality, first meeting. Three is when things start to become more solid.
Given that you've got three different cards with the value of three, we can ignore the suits and specific traits of each card, and think about this. This may suggest that this person has just begun to form a picture of you in his mind. Or perhaps he's just now beginning to form an opinion of you. Which would suggest that how you are around him over the next bit may be critical. It might also suggest a certain solidity of connection between you. Or an obstacle/block formed by pre-existing conditions or new opinions. With the Empress, I'd tend to read these threes in a more positive light, but I think you need to ask more and different questions to clarify.