How to: restrict Group post/Menu specific to OG Type

I have multiple Group Nodes (OG) of different types. I want to have each of the groups to have its own standard post assigned and its own Menu.

For example:

I have OG of Groups Type say Group A, Group B. I have other nodes (standard post) like Node 1, Node 2, Node 3, Node 4.

I want to have Node 1, Node 2 as Group post only in Group A and Node 3 and Node 4 as Group post only in Group B.

Also each group type will have their own home pages with its own set of Menu.

How to do this.