The body of the Constitution is a simple and plain map of just how restricted the powers and authority of the federal government are. The B of R makes plain exactly where government (and its employees) can not go.
Both statements are false.
The Constitution is NOT simple but to the simple minded. That is why there are thousands of books written about it.
It was NOT written to limit federal authority. It was written to limit STATE authority and EXPAND federal authority.
The originators/writers of the document, Madison and Hamilton, were not in favor of a BoR only agreeing to mollify opposition to ratification.
The common myths you stated are the result of paying more attention to propagandists than to historical fact.