Are trademarks and registered copyrights transferable? What happens to intellectual property when a nonprofit dissolves?

Yes, you can assign copyright and trademark interests. Regards to what happens when a NFP dissolves in most cases the assets are donated to another...

Can I take legal action against the designer to refund our money, and get him to take down my design from his website portfolio?

If what you are saying is that the material displayed in the portfolio was not created by the designer that posted it then of course the IP rights...

Is there any legal recourse to using a competitors name that has since changed and not trademarked?

It certainly matters not that someone was using the name in the past if they are no longer using it, but any record you find in the USPTO only...

Right here in the US we have Delta Airlines not be confused with Delta faucets right? Same exact name but two completely different goods and...

Am I allowed to do this? does it matter if I hide or blur the Crayola brand?

You cannot present a false association, endorsement, sponsorship or other affiliation with a trademark owners without express permission. So if I...

We want to sell it but need to legally establish ownership and legal authenticity

You need to clear the copyright interest on the content. The first order of business is to establish which copyright law controls, which will...

Do I have to ask permission from my employer to teach this material at a college or to start my own business?

This all greatly depends on the contest and whether there are any written agreements in place. Assuming there are no prohibitive written agreements...

Should I apply for a trademark?

So just placing a phrase on clothing does not mean that it is serving as a trademark. This can also be ornamental use (like shirts that say "peace"...

I used to write for a site that no longer exists. If the company I wrote for no longer exists, does the copyright revert to me?

As noted, it will depend on who owned the copyright interests. Were there any written agreements in place? The rights never "revert." If you were...

If it is desirable enough, can you license intellectual property that is still patent pending?

You are free to engage in an agreement, but you and the other party run a risk if the subject of that agreement has no formal protections attached....