Her being in a Lesbian relation would not be a considered factor. Stepparent custody challenges can be difficult and expensive, so you must have clear grounds and evidence before even considering it, starting with a detailed Chronological Statement showing you have a solid parent child relationship with the children. see links below
They have the right to challenge the will and executor as possible beneficiaries.
It is certainly possible. Grandchildren can be entitled to a share of their grandparent's estate. Part of it will depend on how the will was written, or the laws for that jurisdiction. Consult a probate attorney for help!
No one. In that case the debters are SOL (although I believe they may be able to seize the deceased persons assets and sell them all to pay off as much of the debt as possible)
Unless there is specific evidence that documents the relationship, such as the birth certificate or a court document, there will be no possible way to inherit. If they were adopted, all rights to the biological parent have been severed, so no inheritance.
Under certain conditions, it is possible for a child of deceased person to sell his personal items in order to pay for the funeral expenses. However; you need to check for any will written by the deceased person, and you cannot sell property, or luxury items of use unless otherwise specified in the will.
Do you mean, "dangerous?" It's not possible to clone a deceased organism. It's not legal to clone a human being.
Yes it is possible to have a relationship with someone living in another continent.
It is only possible if both sides of the relationship work at keeping the relationship alive.
The main reason for performing an autopsy on a deceased human is so that it can be determined what the cause of death was. This can be to see if the deceased died of natural causes or if there was possible foul play involved.
Lewis and Clark
It is very possible that by your saying that you are not looking for a new father for your children, you might have signaled where the relationship is going to your boyfriend. He might be feeling 'off the hook' now and is more comfortable with the idea of meeting your children as their mother's friend and not as a potential Dad-replacement. It would be a good to see if your thoughts of where the relationship is going match with his.
You need to step up and make claim against his estate as a possible heir as soon as possible. Contact an attorney about this. Biological children have inheritance rights even if their parents were never married.