Yes but he says only causes Shinji pain when they are together, so he's better off alone. It's a great excuse for being a shit father.
He did, but was to afraid to act on it
Yeah but then a chapter later you get the whole "remember how happy you were when you saw Shinji" thing
Why does gendo look like a fucking loser there, I thought he was a badass who got into fights
Because he looks like Shinji
And Sadamoto has Prosopagnosia
IIRC, in the anime he did but he was afraid of getting close to Shinji while in the manga he didn't up until the last chapter and as a result he doesn't appear in the reborn world.
He was fully willing to go out and eat with Shinji and was seconds away from him in his car before an angel appears and he bolted back to the base. He didn't even take Shinji to the base with him.
He loves him but he prioritizes saving the world and meeting Yui again.
And as cold and brusque as he is in 3.0, he does
save Shinji from Seele and Kaworu's machinations by killing them all.Which again shows that Shinji falls somewhere below The Scenario in the pecking order.