If I start using a Brand (on youtube) without registration, is it possible for someone else to steal it later by registering?

The first to use a trademark ( word, symbol or device) to identify the source of a product or service has appropriated the trademark. If not...

Use TV/Movies/Music phrases or quotes in a board game needs some kind of permission or its agains the law?

Short phrases are generally not copyright protected. See Intellectual Property counsel.

Do we have to return a graphic design to the artist if they do not want us to use it anymore?

The "gift" is likely a transfer of ownership from the author to the Asker's group. For clarification re: the extent of the right to use see...

Are computer programs, COMPUTER APPLICATIONS, bought from Best Buy or any store like this considered tangible or intangible

As copyright property the computer programs are fixed in a tangible medium, memory, are works of authorship and are copyright property. What kind...

Getty images sent me demand letter and states that I used a photo on my site that belongs to them.

The Asker should contact Intellectual property counsel for assistance. Counsel will have dealt with Getty and many others re: infringement and...

Copyright is likely 70 years plus the life of the author. Confirm with Intellectual Property counsel regarding the status of the copyright.

DMCA Issue: I am running a project that uses a gaming companies core, and I would like to host it offshore

The project gaming company has presence where it is being played in the United States and is likely subject to "long arm jurisdiction" and hence...

Can I legally name my US-based manufacturing company something very similar to a small UK-based mom and pop shop?

Is the UK shop name Trademarked in the US? If not then UK has no protection in the US and you can apply. See Intellectual Property counsel.

Is the advertising of piracy of media illegal?

Selling means of piracy is not likely a matter of Intellectual Property. Contact Criminal counsel.

I need to know if I have any legal recourse for someone that is claiming he wrote a poem that I wrote.

Copyright infringement. But many factors exist with a work from years ago regarding a basis for infringement. See Counsel.