Peter Parker, Mary Jane, and Harry Osborn are three characters in Marvel's Spider-Man 2 who eventually become hosts for the symbiote. Despite each of them being heroes in one way or another, however, the symbiote chooses them for a reason — specifically, on account of their consistently suffering mental health.
The only reason he turned into Venom was because Harry was an angry at Spider-Man for denying the lifesaving medicine. The Venom symbiote was docile until Peter put his negative emotions into it.
Venom came to empathize with Eddie's status as a "loser", eventually deciding to turn on its own kind and save the Earth from being invaded. The symbiote ultimately agreed to work alongside Eddie as a vigilante, to only hurt bad people despite its own confusion of how it can tell the difference of who is good or bad.
After Harry encountered a sample of the Venom symbiote, he becomes its first host and uses it to become a superhero to impress his father, being referred to as the "Black Suit Spider-Man" by the media. Eventually, Harry succumbs to its influence and becomes "Venom" before being saved by Spider-Man.
Peter can't simply get rid of it. It's attached to him on the cellular level. The anti venom suit isn't alive per se. Like he doesn't have a voice or alien kind of host.
After a failed attempt at obtaining some of Spider-Man's blood to try and cure himself, Harry took a serum made by Oscorp. Instead of it curing him, the serum simply quickened the process transformed his entire skin, possibly also sending him insane.
The symbiote re-bonds to Harry, who is resentful that Peter initially kept the symbiote to himself due to its malevolent influence on him. Upon re-bonding with Harry, the symbiote transforms Harry into the monstrous Venom, who then kills Kraven the Hunter and creates symbiote nests around the city.
To fix the damage done, he put on a performance-enhancing EXO-suit and stole a glider. Ultimately, Harry never cured himself, but the venom turned his disease into a weapon.
No, Harry Osborn has never been Venom in the comics.
After the symbiote was destroyed, Harry took a piece of the suit and was crowned the "Black Suit Spider-Man", and became a favourite of New York denizens as he took ample opportunity to humiliate Peter Parker.
In a flashback, it is revealed that she got pregnant with Eddie's child after bonding to Venom. After giving birth to their son Dylan, she left him in the care of Carl Brock, with the promise that she would return eventually. She instead committed suicide, after which Carl raised Dylan.
Anne commented on it was nice, only misinterpreted by Eddie about their kiss, but she clarified that it was about the power as Eddie suggested. Anne would also promise Eddie to not tell Dan about their mutual kiss.
Basically, the symbiote didn't attempted to talk with Peter because it wanted to remain loyal and obedient like a servant. It didn't felt the need to talk to him, only to serve him.
Venom originally chose Peter but Peter rejected the symbiotic after learning that it was evil, Venom, now angry, found Eddie Brock, a journalist that lost his job and blames Spider-Man for it, their shared hatred of Spider-Man makes them both agree, that he needs to die.
Most folks are familiar with the fact that the symbiote who would come to be known as Venom first bonded with Peter Parker. It got a taste of the power of Spider-Man and grew to love that power. It grew to love the feeling of the wind on its face swinging through the city. It loved the force behind every punch.
By eating Carnage, Venom is effectively returning his spawn back to his former "unborn" state within Venom's mass, not taking anything he didn't already have into his cells.
Because of the symbiote's influence on his personality, Peter refused to return the symbiote to Harry, even to save his best friend's life. Incensed, Harry extracted the symbiote from Peter and rebonds with it, transforming into Venom and wreaking havoc across New York City as Peter and Miles scrambled to stop him.
Norman Osborn has several traits related to his psychosis and to his personality. He suffers from manic depression, has a pronounced narcissistic personality disorder co-morbid with severe anti-social psychopathic traits, and in some instances shows signs of multiple-personality disorder.
Venom's symbiote has explained on many occasions that the Klyntar planet is practically devoid of emotions, yet over time he knows that he forms genuine love for Eddie. Venom bonds more with Eddie and experiences guilt, jealousy, and sadness over his other half.
Ultimately, Venom is the result of Harry's inner bitter feelings being unsuppressed, as well the symbiote's strong desire to be with its host. Due to this, Venom acts in a manner that suggests he is and has always been Harry, using both his memories and his motives to convert them as his own.
When Peter tries to kill Norman as revenge for Norman killing Peter's family, Harry intervenes and saves his father. After Ben and May were killed by Norman, Harry discovered his father was cursed into an uncontrollable Goblin, and caused him into killing both Peter's uncle and aunt against his will.
Narrowly defeated by Spider-Man, he receives psychiatric treatment and doesn't recall his time as the Green Goblin nor that Peter was the famous wall-crawler. Meanwhile, Harry finds love with Liz Allan and marries her, and they have a son Normie, named after his father.
Osborn tests the serum on himself in his private lab, but the unstable concoction explodes in his face, leaving him hospitalized for weeks. He emerges smarter and possessing superhuman strength; but at the cost of his sanity and moral inhibitions, signaling the beginning of the Goblin identity.
