Is this true that NSR is only for forest trust, not for other?
yes, NSR applicable to forest trusts only.
While establishing forest trust between 2 domains, NSR is enabled automatically- true or not?
all unique (top-level) siffix routing is enabled automatically upon establishing forest trust
So when is appropriate to use "exclusions"?
when you want to exclude certain suffixes from routing. Forest trust implies transitive trust between all domains in two forests. You can exclude particular domain UPN suffix from routing. In suffix is excluded then authentication requests are not routed to originating forest, thus preventing authentication using originating forest account.