The first jarring note in this episode was Amanda's statement that Sarek banned her from showing her love for Spock which seems totally at odds with Sarek's statement that he wanted Burnham to teach Spock empathy. Surely if he wanted Spock to know empathy the best person to do that would be his own mother.
Second was a secret organization that carries around distinctive identity items, way to go on secrecy.
I have no problem with the extraction of the parasite from Tilly what ever it's rights it has none to invade another person's body.
I really object to the show runners pandering to the treker extremists into not using the tech we can imagine existing in our future because it could not be portrayed in the sixties. Should we also have the shaky sets, the rubbish fx and the ham acting as well? In my opinion if they have such a problem with the show then they should just go away and watch reruns of TOS.