The original rightsholders would retain the rights to the patented and trademarked materials. If you have not added anything original, there is nothing more to protect.
No, you need a license from the holder of the trademark.
Generally the chemical formula will be protected by patent, and the name and/or logo will be protected as a trademark.
You can trademark the name, logo, and slogan (the "marks") associated with the service.
A Patent and Trademark Deposit Library is a library designated by the US Patent and Trademark Office to house patent and trademark records and make them available to the public. A great deal of information can be found at the website linked below.
Spalding products carry the registered trademark of the Spalding name and logo; there are a number of patents for stickball bats which may or may not affect the model you are referring to.
A brand used on goods or services is a trademark or service mark, not a patent.
The US Patent and Trademark Office is an agency of the Department of Commerce.
Nike is a trademark of Nike Incorporated, registered in 1972. The "swoosh" logo was first used in 1979 and registered in 1989.
For Registering a trademark see related link. For filing a patent see related link.
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.
If it is registered as a trademark or "logo," it will be protected. If you register it in a state, the protection will extend only to its use in that state. You have to register it with the federal patent and trademark office to protect it nationally and in some countries.
A trademark is a mark used in trade, like a business name, logo, or slogan. Although established trademarks are protected without registration, a registered trademark has been submitted to the country's trademark office for addition to the registry.