I would be inclined to disagree.
On the first point - The Bill of
Rights, 10th Amendment gives the States the powers (rights?) not granted by the constitution to the federal government nor prohibited by the constitution. Often referred to as "States Rights".
On the second point - I look at it this way. By way of the EC, States (not individuals) vote for the offices of President and Vice President. The number of votes (i.e. Electors) that a State gets is proportional to is Congressional representation. This is precisely why a candidate can win the "popular vote" by only a small portion within a State, and yet recieve the entire, non-proportional allotment of the State's EC votes. (ME and NE of course being the exception to the non-proportionality argument).
Furthermore, according to the 12th amendment, if the Presidential election is thrown to the HoR, each
State gets one vote for President.