Well, states had to give rights to citizens of other states, but not "equal protection".
In fact, the Bill of Rights DID NOT apply to states until the 14th Amendment. That meant that States did not have to respect your first or second amendment rights; of course, many states had constitutions that protected these rights...
Commonly held myth. Totally untrue. Some of the rights enumerated in the BOR couldn't have applied to the fed at the time. For example, there were no civil suits of common law at the federal level, at the time the BOR was ratified, however the VII Amendment is about nothing other than suits at common law valued over $20.