Spanking or corporal punishment is not abuse. It is permitted here and probably in Florida [check w/FL attorney]. The ther issues you raise are problematic. Can yelling and screaming and cursing a child be a form of abuse? I think so, but when? Always? Probably not.
Family can testify as to ex's behavior around the child. They could also contact the FL version of CPS. You can probably have the child seen by a counselor during one of her visits to CA.
The above is not intended as legal advice. The response does not constitute the creation of an attorney client relationship as this forum does not provide for a confidential communication.
Spanking alone is not enough to constitute child abuse. It depends on how and why it is being done. Smoking around a child in California is illegal but it may not be in Florida. Photos are great evidence. Also the testimony of live witnesses will help. It is not easy to get a father full legal custody. It is recommended that you hire an attorney that can help you in this process.
Please note that this answer does not constitute legal advice, and should not be relied on, as each situation is fact specific, and it is not possible to evaluate a legal problem without a comprehensive consultation and review of all the facts and court pleadings filed in the case. This answer does not create an attorney-client relationship.
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