Trademark is presented graphically, helps to distinguish goods or service of the one person from others and may include shape of goods or combination of colors .
Any symbol, sign or word used to denotes a specific product and legally distinguish its from other is known as Trademark.
Let understand that Copyright helps protects original work while Trademark is used to distinguish a particular goods or entity from another.
Trademark are owned exclusively by a company, product owner, manufacturer etc. Anyone found to use such sign has committed Intellectual property theft.
In conclusion, all the statement in the question are correct.