As works of art, yes. But as marks used in trade (a business or product logo, sports team name and indicia, etc), they are protected by trademark law.
In order to copyright a logo product, an individual must submit an application to the United States Copyright Office. This organization will judge the uniqueness of the desired logo and offer permission for copyright.
To copyright an image or logo, you can register it with the U.S. Copyright Office. This involves submitting an application, a fee, and a copy of the image or logo. Once registered, you have legal protection against unauthorized use or reproduction.
Yes.
No. You could copyright a drawing or photograph of the logo but the logo itself would have to be protected as a trademark.
No. In the US that requirement was changed in 1989
Using a logo without permission would be trademarkinfringement.
It means the logo has a copyright.
As long as the picture is your original or in the public domain, you would not require any additional permission. If you are using someone else's picture or drawing, you would need a license from them.
The picture itself is protected by copyright; downloading it without permission would be copyright infringement.
No. Names, titles, slogans, and common words/phrases do not qualify for copyright protection. In this case however the Olymipc logo is certainly registered as a trademark.
The copyright logo, a c inside a circle (©), can be made by pressing Option+G on a Mac or Shift+Alt+C or Alt+0169 on a PC.
The United States Marines logo copyright is of course owned by the United States Marine Corps. They even have their own division to deal with the improper use of their logo in media and sales.