As far as I'm concerned, you nailed it. Your distinction between view and domain models is correct. A domain model can be considered equivalent to an entity.
To answer your second question, I don't think it is necessary to introduce the entity nomenclature into your project, but I don't think it would be too confusing if this is something you wanted to do. I typically move my domain models into a separate project. I use the stock Models folder to hold my view models
[EDIT]
Based on the comments below, I thought I would clarify one thing. Specifically in the context of the Entity Framework, a domain model encompasses more than your DB entities. For example, a Custom Type representing an Address (Address 1/2/3, City, State, Zip, etc.) would also be a domain model even though it isn't given the name "Entity" by the Entity Framework.