According to what I've learnt(not a native German speaker)'Hause' means home..'Haus' is just house..
Nouns don't have dative forms except dative forms of plural nouns with article that has to end with 'N'...For example'DEN KINDERN'
I hope this helps you
It's genitive to show possession (meines Hauses = of my house). Or you could say "liegt in der Naehe von meinem Haus" which uses the dative case. Actually, I think I like the dative better for this situation, "sounds" better to me (not a native speaker of German).