No that's the complete opposite point the film was making. Killing Han was supposed to be this tremendously vindicating moment for him where he would transform into a full-fledged dark sider and have perfect clarity/solace in what he was doing. Except the complete opposite happened for him, which is why he has such great potential for future films because he's not just this pure evil villain. He doesn't snicker or laugh at Han for trusting him after stabbing him, there's no quip or insult. He's even more confused and distraught, just see his reaction after Han reaches out with love to caress his cheek. He does not look or express a sense of steadfast devotion. This 'final' act was not the liberating switch he hoped it would be.
That leads to him begging with Rey, although now that I think about it, pleading is much better. He was pleading with her, and it's all in the acting so I can't do much more than point it out. But it's a great parallel to his own decisions/journey, he's basically asking her to follow his own path, to affirm that he's made the right choice, he's asking her because he himself is unsure, he's trying to convince himself more than he's trying to convince her.