@taxreturnfiler , whereas this is wrong forum for this kind of query(ies), I would suggest the following:
(a) US Probate laws / Estate Laws/ Trust Laws do not distinguish between different types of residents of the state -- these are under state laws ( and not federal except for federal gift/estate tax ). Thus as long you are a legal resident of a state all local laws apply equally even if you are not a citizen.
(b) Not knowing your country of citizenship, I cannot comment on whether your home country could have any claims/jurisdictions over your estate. Generally all the tax treaties that I am aware of do not cover this area. However if you also have assets ( houses/bienes/ etc. ) in another country ( country of your citizenship ) generally the process of affecting an estate / probate is complicated -- in such a case it is more prudent to have a separate testamentary document in that country and not connect this with US documents ( even though it may be violating the wording of the one in this country).
(c) It is best to discuss this and similar items with a probate lawyer before one proceeds with any action.
Hope this helps you
pk
