Having seen other people in this situation (spouse with OP)... All I am going to tell you is that you might come across as a vengeful spiteful man in court. My friend went through this with her husband and the judge said that as long as the child's welfare was not threatened that there is nothing she could do.
I don't think I can have an opinion on the parenting part because I have no children of my own. I have a SD that I love dearly but she never lived with us so it is no where near the same thing.
From a personal perspective, you come across as angry and jealous to me. I get the feeling that if you were not snooping around FB, none of this would be an issue. QUIT LOOKING AT FACEBOOK! Why do you keep wounding yourself? Seriously.
You should fight for equal custody. That is your duty as a a father. However, if you use your daughter as a weapon in your D, I would almost guarantee that you will not be happy you opened up that can of worms. Ask my friend... Judges take dim views of that stuff.
“Things turn out best for the people who make the best out of the way things turn out” ― Art Linkletter