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No. All US states and territories honor each other's requests for extradition - there are no 'safe-haven' states - it is impossible to know with certainty whether a particular state will choose to extradite you or not, there are simply too many variables. It may depend on the offense and/or the seriousness of it and/or how badly they want you returned - most states WILL extradite for felony offenses.
States don't usually extradite over misdemeanours, but Parole violation is a felony and all states will extradite.
If by "abscond" you mean 'flee' to avoid arrest, prosecution or sentenced punishment, then you are, in all likliehood, actually a 'fugitive from justice." All US states and possessions honor each other's requests for extradition.
The warrant is basically null unless they change their mind about extradition or you get caught in their state, or one they will extradite from. The local Police will basically detain or arrest and release you when they find out the other state wont extradite. The warrant will usually say "Will not extradite from ______" Most states have 10 minutes to find out if a warrant is valid, after that they are required to release you.
For felony offenses, most states WILL extradite.
Most states WILL extradite for felony offenses.
All states honor each others extradition requests. There are no "safe-haven" states. It cannot be said with any certainty exactly what a particular state will extradite you for. Most states WILL extradite for felony offenses.
County's don't extradite from other states, states extradite from other states. It can depend on how badly they want you back and whether or not your name appears on the interstate NCIC system as wanted.
All states extradite to all other states. Some wont extradite on some cases, but they are few and far between. If California asserts that they will extradite/accept the person back (and arrange the transportation), all states will cooperate with the extradition. You can try to run to a handful of other countries, but why not just get it behind you, and turn yourself in.
No. There aren't any states which flat out won't extradite - the only thing which varies between states is what they're willing to extradite for.
Yes, TN, as well as all other states in the U.S. will extradite.
Yes, all states do extradition.