Nanny AGENCIES need licenses, and as a condition of getting that license, have to perform certain checks on the people they hire. No there is no special license to be a nanny. You are acting similar to a baby sitter and that's not regulated.
YES
There's no official license needed to become a nanny. However, one will usually need some form of evidence that they're trustworthy.
You need to do a thorough background check. Often a Nanny Agency will have candidates who they have done a check on, but you need to do you own. Also, check around to see if the agency has a reputation for good nannies. Conduct a background check on the nanny. You should also be aware of how much you will be paying the nanny.
you could use a service like sittercity.com
No there is no license. The clients may want background check however.
You do not need a license.
Yes, you need a business license to open any sort of business.
you do not need a license to purches a ham radio. you also can listen to chatter without a license. but if you want to talk you need a license.
You don't need a license to buy a car, but you need a license to drive a car on a public highway.
no
I don't know about Florida, but I do know in Wisconsin that you need a Home Caregiver's license to babysit. It should be the same in your state. So look for something like that to apply for. You should be able to receive it without a problem if you have not had any domestic violence on your criminal record