Can I create a website filled with my own versions of famous characters for children to use as coloring sheets?

Copying is copying. "Free to download" does not change the fact that there was copying. If copyright owners are not giving away copies for free,...

Why do you want to use those particular brands of shirts or hats? One possibility is that the garments are recognizable as quality items associated...

There is a great deal of excellent tutorial information at https://www.copyright.gov.

Will I be able to dismiss this without paying a settlement?

I agree with counsel above. As for strategy, you may wish to "Google" the opposing law firm and the copyright owner to see what their reputation...

As you noted, a DBA is a fictitious name. Based on the facts in the question it seems that if you add INC to the DBA the name is no longer...

Can I use a team name as part of a phrase on a shirt?

No. More specifically, you need to look at what you are using. What you are not using is not the question. The teams in question could take a...

Very often people create hypothetical examples in order to find out about their own situations. Trademark infringement is not a simple concept....

Patent infringement?

Do you know for a fact that you are or are not infringing? There are many aspects to interpreting a patent. The text and the context of the patent...

It looks like the seller is advertising online. If the seller is using your photos on their website they could be committing copyright...

The basic issue is often viewed as whether or not you are trying to ride on someone else's coat tails or whether you are copying something...