Yes they do.
Yes. Most all warrants (felonies in particular) are entered into the NCIC (National Crime Information Center) Computer which is linked to all states and US territories and certain international locations. The data in this computer is routinely available to even the smallest police agencies. When your name is 'run' (even for a traffic stop) this info is readily accessible and you will be placed under arrest and held while the arresting state contacts your home state to start extradition procedures. However, it should be noted that states ARE NOT required to enter their warrants or to enter them nationwide, some states only enter their warrants into their state system and some agencies do not enter misdemeanor warrants at all.
By "mile limit" I'm guessing that you mean if you get far enough away you won't be arrested. If that is the case, it won't work. If the felony offenses are sufficient for the authorities in Elgin to want you badly enough to prosecute you they will enter the warrants into the state (and maybe national) law enforcement computer system.
Yes.
no, a felon cannot enter the Cayman Islands.
no
My husband wants to travel with us for vacation to the bahamas he has a past felony on his record will they let him enter into bahamas?
There is no cost to enter Florida, other than the price of your transportation.
i had a felony wi 15 years ago. will i be able to enter canada or immigrate there?
Depending on the offense and the state's willingness to extradite you for it, yes.
It depends on what type of felony you have. In order to get the best answer, contacting the Embassy of Japan in the United States of America should be very helpful.
No circumstances are given by the questioner - but - if their order of deportation was a direct result of their felony in all likliehood, they would have to be pardoned in order to re-enter the country legally.
There is no computer code to enter.