My husband died without a will who has rights to our home and pocessions

Your question cannot be answered as simply as you ask it. If everything you're asking about was community property and your husband had no children, or all of his children are also your children, then you would own it, subject to any debts owed by his estate. Whether the property you ask about is community property depends on when and how it was acquired. For example, even the house could be his separate property if he entered the contract to buy it before he married you. The facts make for each property item will determine who owns it.

You should consult a competent attorney for detailed advice based on those facts and your husband's family situation. Relying on the preceding information without that analysis would be unwise.