I found a doog house in San. Hills i stored it, but now i cannt find it. if i leave my new aquired power armor and the red rocket is safe there?

Yes, just pull the fusion core when you park it.

The Dog House is in your menu for crafting after you store it. I had trouble finding it as well. I'm sorry at the moment I can't remember which category and sub category but it is there and I think it was under one of the Misc sub categories.