Have you heard of ACES before @Mama1209 ?
I'm only asking because your daughter had had a fair few of these during her life (I've bolded the ones you've mentioned in your post)
Adverse Childhood Experiences (ACEs) are stressful events occurring in childhood including
domestic violence
parental abandonment through separation or divorce
a parent with a mental health condition
being the victim of abuse (physical, sexual and/or emotional)
being the victim of neglect (physical and emotional)
a member of the household being in prison
growing up in a household in which there are adults experiencing alcohol and drug use problems.
When children are exposed to adverse and stressful experiences, it can have a long-lasting impact on their ability to think, interact with others and on their learning.
Your poor daughter has gone through a huge amount of trauma in her life. Her way of communicating with you "when she doesn't get her own way" is a direct result of her childhood.
Bring her on holiday, don't push her away even further. If she spoils it by being moody, she spoils it by being moody.
I think its important for her to know you love her unconditionally and that her inclusion in your new family isn't dependent on her being "good".