In regards to the things mentioned above. It doesn't matter what god, energy, or power they are worshiping or using. All these practices try to call upon or "manipulate" some power or energy to accomplish some goal or task. They are called various things and have various names. They are all demonic. The wiccan "god/goddess of the earth, wind, water, ect..."? A demon. Performing some voodoo hex? You are calling upon a demon to cause harm. Worshiping a pagan god? Worshiping a demon. Are you starting to understand the pattern? They are all demonic powers or entities that are being called or worshiped to achieve a goal. Even those who practice divination by using tarot cards, Ouija board, or other mediums to communicate with the dead or predict the future are demonic. After a person dies, their soul goes to either heaven or hell. There is no in-between. Demons are spiritual beings who can take any form they choose. They can appear benevolent and kind. Even Lucifer in his true form would be so beautiful that people could easily confuse him to be God. But he isn't. The point is that demons don't care what you believe as long as you don't believe in the one true God. Demons will even do rather nice things and perform healing miracles as long as God is not worshiped.
In regard to rape and molestation, not evil is demonic. There is deliberate evil that a person creates through their own volition, evil caused by demonic principalities and powers, systematic evil caused by organizations and governments, and even natural evil like tornadoes, famine, plagues, ect. So not all rape and molestation is caused by demons. I would argue that most are deliberate evil cause by fallen human beings who willfully chose to create it. But some may be caused by either someone under the direct control of a demon (possession) or by a demon influencing the actions of the human they are attached to. I believe these are found when rape and molestation are as part of some cultic ritual or practice. When someone is raped or molested because the perpetrator was trying to please some demonic power.
See above.
No, God does not influence it. He allows it. To say otherwise is to suggest that somehow God is powerless to stop or prevent it. That God is not omnipotent and sovereign. Because God is omnibenevolent, whatever evil God allows to a believer would be ultimately intended for a good purpose. Like allowing Jesus to be betrayed by Judas so that prophesy can be fulfilled and atonement for sin is achieved. Joseph is another example of God using evil for good purposes:
Genesis 50:19-21
"19 But Joseph said to them, “Don’t be afraid. Am I in the place of God? 20 You intended to harm me, but God intended it for good to accomplish what is now being done, the saving of many lives. 21 So then, don’t be afraid. I will provide for you and your children." And he reassured them and spoke kindly to them."
I agree. See above paragraph regarding the different types of evil.