Since Florida does not HAVE registration of ordinary firearms, there is nothing to transfer. You may give, sell or trade a firearm to another resident so long as you are both residents of Florida, and have no reason to believe the other person is prohibited from possessing a gun. They cannot possess a gun if they are a minor, have been convicted of a felony or crime of domestic violence, are a drug addict, an illegal alien, waiting trial for a felony, or are a fugitive from the law. People that have renounced their US citizenship, have been judged to be mentally incompetent or dishonorably discharged from the military are also prohibited. You can write up two copies of a bill of sale, listing name and address seller and buyer, description of gun, you both sign, each keeps a copy. Not required, but a good idea.
Yes.
what does fl tlr mean
No
California
Hire a lawyer.
I imagine state laws vary on this but in Texas you do not have to call anybody to transfer a black powder gun.
If the court and both states approve.
Yes.
No, it'll still be suspended.
Depends on where you are, and what you are doing (and your age)
No. Concealed carry permits are issued by individual states, and do not transfer.
Describe the situation.