In agreement with Ms. Koslyn. If you did not take specific actions to protect your rights. There is probably very little you can do. You should...

You are confusing Copyright with trademarks. You should consult with an attorney to understand your options and your risks.

You should consult with an attorney. Check if your city or locality has a program for new businesses or accelerator, they can walk you through.

The other answers are to the point. Your name is probably not protectable and mounting a legal case will be expensive. You need to do a cost...

You are confusing things The company name is registered at the local state level How you operate, your product or service name or brand are...

Consult with an attorney on your options. You should pay attention to the quality of the brand you use and how strong it is.

You should consult with an attorney for a prior art search. You can also try on your own using a regular search engine. Google has one version...

It depends on your business plan. If you intend to engage in a profit generating activity, and you do not have external partners or looking for...

If all you want is re-sell their products check with their distributors. Big platforms such as Amazon require you to have proof of buying a...

Answering your main question, why? Because you are trying to leverage their brand THE GAP, fairly simple You really really need to consult with...