JJ's portrayal of rape/trauma is easily the strongest part of the show. The whole show isn't really about the fight scenes or action (which are kinda weak, as has been noted).

It's about someone coming to terms with the abuse they went through, and then confronting the abuser. Kilgrave has basically every classic domestic-abuser trait. He abuses her in horrific ways, but once she leaves he professes his love. He's sorry! He loves her! He'll do anything to prove it - grand romantic gestures, promises to change, etc.

He even plays the whole "You can teach me to be a better person" line. He makes himself out to be a victim of circumstance, or a bad childhood. He'll change, never hurt her again! They're meant to be together! And besides, Jessica liked it. She's lying when she says she never enjoyed their time together. Etc etc etc. To anyone who has ever been in a abusive relationship, this is poisonously familiar.

David Tennant's portrayal is pretty amazing. It's part of what makes him so viscerally frightening is that you're uniquely helpless and vulnerable with him, obviously. But part of it is that he doesn't seem to really even realize he's doing anything all that wrong - he doesn't even acknowledge responsibility, turning the blame back on to YOU. Tennant even makes him seem vaguely sympathetic at times, which is something most sociopaths are good at - eliciting sympathy.

JJ basically fights two battles. The first is to overcome Kilgrave's mental hold on her - even though he can't control her, her fear of him dominates her psyche. It means that she continually pushes people away, isolates herself, is destructive. She has to work past that. The second battle is the classic 'Batman does not kill' thing where she eventually decides that she's willing to kill him and willing to allow other people to get hurt to do so. The scene where Hope offs herself was pretty stunning.

However, having Simpson eat red pills to go on his murderous-abusive-boyfriend rages was a bit on the nose, don't you think?

-Simpson, abusive boyfriend archtype
-A rape survivor being having to do an illegal abortion cause patriarchy
-Luke saying he should have believed Jessica about Killgraves powers (listen and believe ****lord). Although to be fair, she acknowledged immediately that she didn't give him enough reason to.
-The aforementioned rage inducing red pills
-The evil mom making her teen daughter purge (fat shaming)

Simpson was all around a terrible character but it was well played that his obsessiveness, a first, comes from being a good man felt remorse for doing something bad and determination to make it up to Trish and by helping catch Kilgrave.

It metamorphized into obsessive vigilante justice for Kilgrave eventually leading him to kill a cop, burn down a building, and trying to knock a door down with a scared Trish on the other side (pretty much the visual archetype of an obsessed abusive bf). The first time he tried it (with the ram and his police partner) it's because he felt guilt that he might have killed someone, the second time he didn't have any of those redeemable motives.

Like e.g. why the hell did he shoot the police guy from the Wire. I didn't get his motivation there at all. Yes, he wants to kill Killgrave. Yes, he's taking these combat drugs that make him hyper. But suddenly becoming a homicidal maniac? It just didn't feel believable.