Generally the answer is that a will that is valid in another state is valid in Florida. This is not true for certain holographic wills. As far as the POA, FL has specific requirements in the statutes that are not in other states laws and as a result they may not be honored and you may not have the right to have them enforced in Florida Courts. Many attorneys will review out of state documents free of charge in cases like this.
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Florida's statue on wills, living will and health care surrogates specifically recognize these documents if they are valid where signed(in another state). Florida's power of attorney statute does not automatically recognize another states power of attorney. Florida requires, two witnesses and a notary if real estate is being considered. Also, Florida requires that the power of attorney specifically state all of the power or authority granted.
I would recommend that you see counsel in Florida to both review your documents and consider your other circumstances as a whole for any other needed planning.
I agree with above answers and would add that power of attorneys and living wills should be updated every three years and if your documents are older than three years-get new Florida documents.