Sure.

Really believable. A young professional basketball player, who's good looking, is earning a lot of money, has had a good education and hasn't shown any signs of troubling behaviour is just going to rape some poor woman?
Fake news.
Uhhh, probably a bit too dismissive of that. This attitude is almost everything that stops victims coming forward.
I'm not saying he's definitely guilty or definitely innocent - way too early to say. But this kind of stuff is unacceptable
Come on. The story doesn't make any sense.
''Oh man, I just got r*ped, what an awful experience! I'm going to the police! Oh, wait, I'm being offered $68.000 to keep quiet. That's a really reasonable deal, maybe I should take it? How is getting him to justice going to help me? It's not like he'll doing something like that again. Let's just wait a year and see how I think about it then. ...a year later... I think I'll go to the police, those payments aren't coming in soon, so sorry but you missed your chance to pay me off, now I'm going to tell on you! Come to think of it, I really didn't like that rape incident.''
That doesn't mean you should brush it aside because KP is a multi-millionaire pro athlete in his early 20's. We've seen athletes do this before.
Victims of rape & sexual assault explicitly outline this kind of behaviour as why they wouldn't come forward. You can surely see the problem with that.
Of course victims of rape & sexual assault should feel safe to come out with their stories.
However this one doesn't make sense. And a lot of those stories don't.
'Some rich famous guy with some emotional distress, has a couple of drinks, gets horny, loses his boundaries and just rapes some poor woman.'
Just really think about it. How likely is that to happen often?
How many times did you get drunk and (almost) raped someone?
Has it ever crossed your mind? Do you have moral obstacles?
Do you think that some drinks will remove your moral boundaries for such an act?
You don't have to answer those questions. Just realize that even though they're famous people, they're still people.
Who have morals just like me and you. People make mistakes, but raping someone is not just a mistake that happens frequently.
Personally I rate the chance bigger that I'd kill someone in my lifetime than rape someone. And I've never physically assaulted anyone in my life.
I read this and literally thought to myself "Ya, that sounds a lot like something that might happen." You are viewing this through the prism of a normal human being. Of course it seems improbably to you, but 1 in 5 woman are victims of sexual assault by the time they turn 70. Given that, I don't out of hand dismiss any allegation.
That said, its impossible to make any determination one way or another based on what we know.
Don't believe everything you read on the internet. Per FBI stats the rape rate is 41.2 per 100.000 inhabitants. It's really interesting how the phrase sexual assault is used now more than rape, because you can really broaden it's meaning.
The problem with that stat you site is that it is A) Based on one year, I'm talking about the percentage of women who experience sexual assault during their lifetime. B) Only includes rape, a much narrower definition than sexual assault, and C) Is based of reporting data, and a majority of sexual assaults are not reported.
A) If you extrapolate that data to 70 years and 300 million inhabitants, you get around 8 million rapes. It would be pretty hard for me to calculate how much the population will increase/decrease and take into account people who are raped multiple times, so let's stick to 300 million. Take away the old and the very young. Let's say that leaves us at 160 million. That's 1 in 20 (people, not just women, in 70 years, not taking into account tons of other factors)
B) Let's be real, the way sexual assault is defined today is almost silly. Basically anything can be thought of as sexual assault, the slightest unwanted contact. Let's not compare being raped with putting a hand on someones leg or slapping someone's ass.
C) But that's the only data we have. If you don't have reliably data, you can't just make up numbers. If you have more reliable data than FBI statistics, please let me know. How do you know that it's not reported, if it hasn't been reported? Is there proof that so many of these crimes are unreported? It's just something we hear constantly from the media and feminists. A majority? Come on, that's a stretch.