Can I use a quote from a known figure on the inside cover/dedication page of my children's book??

Generally, if you use a quote there may be copyright infringement concerns, but you may make, at least, fair use, deminimis use, or first amendment...

If a company owns two brands can they advertise for product under brand A but send product with brand B?

Generally, advertising one brand and providing another, may be at least, false advertising. You should discuss with an intellectual property...

Copyright does not protect ideas, rather expressions. Generally, it may be possible to have a non disclosure agreement dealing with ideas,...

Can I create a crowd sourced database of questions via app users of a trivia game to create an unofficial strategy guide?

If you use a trademark related to the app without permission of the trademark owner, you may be liable for trademark infringement. In addition,...

Can I ask damage for INFRINGEMENT TRADEMARK is a small LLC , new company?

Generally, if someone else is using your name for commercial purpose they may be liable for violating your right of publicity. If they are...

Can I use a brand name (ex:Facebook) within my mobile app which uses Facebook data?

There may be at least terms of use regarding Facebook data, and generally you may be liable for trademark infringement for using Facebook's...

There may be issues of at least violation of right of publicity, which may survive death, generally depending on state law. You should discuss...

Do companies that sell phone skins have copyrights on the shape of their product?

It is possible that a phone skin or phone case, may be covered by, at least, copyright, design patent, utility patent, trade dress, and/or...

Generally you should at least look at terms of use: https://www.bitmoji.com/support/terms.html You should discuss with an intellectual...

Can sell a college logo for example (Velcro patch) ((sold separately)) and have a product that would incorporate the item

It would be important to see exactly what these products are and how you would be advertising these products. There may be copyright...