To answer the main question. No, not really. To answer the secondary questions. None of the above.
REST based architectures do not fit nicely into the standard 3 tier model. The simplistic view of the three tiered model looks like this:
Presentation Layer <-> Business
Logic Layer <-> Data Layer
Consider for a moment breaking the presentation layer into two parts,
Rendering Layer <-> User Interface
Content <-> BLL <-> DAL
If you think about a regular Web application, the browser takes HTML, CSS and Javascript content and renders them visually in a browser. It is the User Interface Content layer that the REST constraints apply to. This is most obvious if you think about the hypermedia constraint. REST interfaces are mean to be navigated just like user interfaces are. REST interfaces return re**presentation**s of resources.
REST interfaces should return user interface content that is independent of how the user interface will be displayed.
REST Client <-> REST Interface <-> BLL <-> DAL
In my opinion REST clients come in two forms, either very thin media type rendering engines (e.g. Web browsers) or screen scrapers (spiders, mashups). I use the term "screen scraper" loosely because if you choose your media-types wisely it should be trivial for the client to scrape the data out of your user interface content.
Any attempt to expose Business Logic Layers as REST interfaces usually has a few effects. Developers end up asking how to do transactions in REST. They end up creating huge amounts of coupling between the client and the BLL interface because of the need to expose semantically rich representations. They forget all about the hypermedia constraint, because much of that linking information is not available in the business logic layer. And they start to complain about the performance overhead of HTTP and text based content types.