Read their Standard Terms and Conditions and see what they say.

There are too many details not in your brief summary. You need to follow exactly what the contract says. It's not clear who owns the designs and...

Can I file a dmca for someone copying hundreds of my app?

Go to the Copyright Office website and get your documentation organized with reference to what they want to register and what you can upload. If...

Can I use trademarks/brand names in the title of my product assuming my product in fact contains those items?

There's no easy answer. If it's a calendar and there are twelve images and they are all Coca-Cola you are doing something quite different than...

Someone i know is using premade art from a show pretending he work for funimation saying that he work for them

More than one court has said: To establish infringement, two elements must be proven: (1) ownership of a valid copyright, and (2) copying of...

What does a local IP look for on the legality of a local public screening of a Eng. dub anime that might be public domain here?

Your IP attorney would take those facts, and whatever documentation you have, and evaluate what is, and what is not, in the public domain.

The above answers are good ones. While the answer to your question is probably "yes" because why else would the artist sell their patches, the...

There are too many variables to answer that on a public board. Have a trademark lawyer evaluate a search and the exact facts.

Will Copyright Office reject my application because I didn't write "No" for Work Made for Hire Question?

If you included good contact information they'll ask if they need that. It could be months, though.

Assuming nothing else identifiable you are probably OK from a right of publicity or privacy perspective. If it's truly reviews it's probably fair...