For the first question regarding the Eighth Amendment:
The situation that violates the Eighth Amendment protections regarding criminal punishment is:
A person is sentenced to life in prison for shoplifting.
This punishment is considered disproportionately severe for the crime of shoplifting, which does not warrant such a harsh sentence under the Eighth Amendment's prohibition against cruel and unusual punishment.
For the second question regarding the Three-Fifths Compromise:
The correct answer is:
To settle debates over the issue of counting the enslaved population for representation.
The Three-Fifths Compromise was an agreement reached during the Constitutional Convention that determined how enslaved people would be counted for purposes of taxation and representation in Congress.