Far too complicated for a simple answer. How was the property held? In each name, or a joint tenants with right of survivorship? Was there a will? Are there surviving heirs other than the holder of the community property? And finally- it will be up to the laws of the state, province or nation where the community property is located.
In most cases the spouse has a right in the property, even if they are not on the deed. If there is no will, the spouse typically inherits the property.
The surviving spouse becomes the sole owner.
It passes to the decedent's heirs, the spouse of which will be one.
Not immediately. When you inherit something it is separate property because it was specifically designated to go to you. If you put these funds in a joint account or share them with your spouse then it would likely be deemed as transforming to community property.
It depends on if California is a community property state or non-community property state.
Depends on whether you are in a community property state. If you are, and married, your spouse dies, you/estate is responsible for the bill.
Generally, when a married person dies intestate (without a will) any interest in property held with the spouse as joint tenants with the right of survivorship, or tenants by the entirety, automatically passes to the spouse. Any individually owned property passes according to the laws of intestacy. Those general rules govern non-community property. Property is distributed differently in community property states. See the related question below for a link to state by state intestacy laws.
yes
The answer depends on many factors. It depends on whether you live in a community property state and when your spouse acquired the property. It depends on whether your spouse left a will and if the property was devised in the will. It depends on whether there is a provision in your state law whereby a disinherited spouse can claim a share of the estate by "election" if the property was devised to another person. If there was no will then you can check the laws of intestacy in your state in the link at the related question below. You should contact an attorney in your area to determine if you have any interest in the property.
"Someone else" gets the property. The surviving spouse can certainly contest the will. And there may be specifics in the state that entitle the surviving spouse to a portion of the real property, or a life estate in real property. Consult an attorney licensed in the state in question.
The spouse of a deceased person is only responsible for said person's debts if the couple resided in a community property state or if the debts were jointly incurred.
The leases are assets of the estate. They will go with the property as the will directs or the law of intestacy will apply.