you could lose your ownership on your logo and domain, I think
Provided the logo is registered as a trademark, and not in the public domain, no you cannot use it without permission.
A TM symbol should be placed next to a logo when the logo is being used as a trademark to indicate that the logo is a registered trademark.
The trademark logo for McDonald is just "M". They have been using this logo almost over 50 years and many people tell that trademark logo is very important for an organization and McDonald definitely got succeed to introducing such logo.
A few unlicensed uses have been judged to be fair use, but the vast majority of uses of another's trademark logo requires permission.
The 'R' symbol goes after the trademark or logo.
Rather than trademark a business, you would trademark its marks used in trade: name, logo, slogan, etc.
Not without your permission.
A Trademark
The CD trademark/copyright logo belongs to Phillips Electronics and Sony. They require that the logo and others be placed on all compact discs.
There are no specific copyrights associated with the Dodge logo, instead it is a registered trademark of Chrysler Group LLC and is protected by the trademark laws.
copyright - means that you do not have permission to copy the material without first obtaining permission from the author and paying them royalties to use their copyrighted material under licence. A trademark is usually a company Logo, or sometimes a slogan either. like Nike's trademark would be the swoosh symbol for example.
Logos are protected by trademark, not copyright. Adidas began using its logo in 1949, filed for trademark protection in 1969, and received formal registration in 1970.