Can I trademark a company name. Then use an abbreviation for the name for logos or signage?

You would clear and file whatever you will be using as a source identifier for your goods or services. If both, then both should be cleared and...

Can I sue twitter for compensation for possible revenue lost on a novel I wrote and was promoting through my twitter account ?

While I believe there are reasonable free expression arguments to be made even though platforms like Twitter and FB are private and are governed...

As noted, we just don't have enough information to be helpful here and these kind of questions can never be addressed in the hypothetical....

Can I have the same stage name as a different company?

Possibly. So long as your use of the name is not causing any market confusion regards to the goods or services identified. For example, we are not...

What kind of protection do I need against knock-off's and copy cats?

There are a few important areas to consider. The first is copyright. In general, Any creative expression will be covered by copyright law...

What exactly should I do before trying to start up an adult entertainment business.

I retagged the question as entertainment as this is not an IP question and entertainment seemed to be the closest to the kind of business you are...

Can I incorporate vehicle brand logos for advertisement.

You are free to use another's trademark descriptively in text to refer to that mark holder. This is called "nominative fair use" and the classic...

It's the same as with stealing. You can still be held accountable for something you stole even if you returned it before they knew it was gone. The...

Can I use a cartoon or cancer symbol in a logo when starting my own small business?

Of course, it is not entirely clear what you mean. As noted, you can't just use whatever you find. You will to create your own or proper license...

Is it illegal for someone to claim to be part of a company or organization?

Of course you do, especially if this is causing you any kind of harm to your business. There could several types of claims here. Before you...