I think that you are conflicted because you think you should just forget about him but as you say, you never got closure. This is why, for example, you can't get away from him and his new girlfriend.
A
house in a dream can represent yourself and everything that is going on in your conscious and unconscious mind, so the house can represent a desire for things to be different, for his girl to be with someone else and not you.
Maybe you just have more time to think about things (the summer?) which is why this is coming back to you now.
It's up to you to decide whether you want to call him and ask him for an explanation of why he broke up with you. Is it going to cause more trouble than it's worth?