Is it legal to use the following provided by the Tor Project:
Provided I'm not doing anything illegal with these services/software. I am asking specifically for the United States. Are there any states within the US that prohibit the use of any/all of these services/software?
Using Tor is not illegal. Nor is hiding your IP address, which is - among other things - what Tor does.
Going to .onion links is not illegal. What you find and interact with at those .onion sites may be illegal. See Law StackExchange Is it legal to host a directory of .onion urls?
Running a Tor Relay is not illegal. That could change. Running an Exit Relay could expose your IP address as the Relay, so that could lead investigators of illegal activity to you. Read https://www.torproject.org/eff/tor-legal-faq.html.en
As always, check your state laws http://statelaws.findlaw.com/criminal-laws/computer-crimes.html
And do your own research with the links above and at https://en.wikipedia.org/wiki/Tor_(anonymity_network) and at https://www.torproject.org/
