Yes. All the children would be considered heirs at law under the laws of intestacy. See related question link provided below.
All her biological children are equally entitled as heirs at law.
Yes. ANYONE named in the will is eligible to be included in the inheritance. On the other hand, if the decedent died intestate (without a will) their property would pass according to the state laws of intestacy. In some states, children by a former marriage would automatically inherit a share. You can check the laws in your state at the related question link.
No
It will depend partially on the will. If the new spouse is not mentioned, she may be able to elect to take against the will. If there is no law, it will probably be split in half, half going to the spouse and half going to the children. Consult an attorney to protect your rights.
Are you asking if your previous husband ought to be legally responsible for supporting your children by your new husband?
No, she never remarried or had lovers (at least as far as we know).
A current spouse would have first claim.
You are not able to get remarried before your divorce is final. If you do remarry before that, then your marriage will not be legal.
The second marriage is invalid, so the children of that marriage are illegitimate. Whether illegitimate children are entitled to a share of the inheritance depends on the law of the particular country involved - which you do not specify.
The term is "remarried" (marriage is a noun, not a verb).
no she is divorced from her first marriage
She will be entitled to what is her share legally.