50/50 custody and its effects on a child

Hello everyone, I'm a 33M who split up with the mother of our child roughly 7 years ago. After a long faught out process I obtained split custody in CA, about 1 year ago. My daughter (nearly 8) has been living with me 50% for about 2 years. Her mother lives with her dad (my child's grandpa), and has never had a job. I'm a full time employee. There are a few things that concern me:1) She PANICS if I take a shower. I mean full on SLAMS my locked bedroom door crying and screaming without fail. I've learned that her mother leaves the door unlocked so that my daughter can "check" on her. I can't do this, I tried, but my kid doesn't head the rules and one day burst into my room to see me naked. Hence me locking the door. Is this normal? What suggestions can other parents offer to help me resolve this? I've tried to talk to her the mom, hoping she would start locking her door and help break this behaviour.. but she strongly believes I should not lock the door.2) At night after I read my kid a book, if she's anxious at ALL she throws up. This has been going on for a year and it seriously breaks my heart to see her throw up at the end of the night. She's not ill, and has no underlining detectable cause for this, all I can think is that its her nerves. Has anyone experienced this? If so was there a solution that worked? My best bet is to just make sure shes feeling good (read book then talk) which is admittedly a lot of work after an 8+ hour work day followed by cooking/cleaning etc.3) The other parent loses her shit when I bring up vaccines. I've gotten my kid some vaccines but I want to finish getting her vaccinated. I can't talk about this with her mom because that turns into a lesson on why vaccines cause autism. Should I just say fuck it be the adult and get her vaccinated without counseling the mom? via /r/Parenting https://ift.tt/2CUx86a