I mean, I hate Ben Shapiro... but at the same time - in the rebuttal of the first point, calling the Hamas human shields claim "baseless" - it's not exactly baseless at all is it? Hamas has been pretty open about the fact they use civilians as human shields, they've said they don't see themselves as responsible for the civilians of Gaza.
I think a better argument to be made is Israel knows full well that the vast majority of the casualties to their attacks on Hamas are going to be civilians - but they're willing to kill however many innocent Palestinians as it takes to get just one guilty Palestinian.
I fully agree with the second point - saying "free Palestine" by itself is not a call to genocide. Saying "gas the Jews" is a call for genocide. Trying to equate the 2 is only possible because of so many bigots going to Palestinian rallies and chanting calls for genocide alongside calls for Palestinian freedom - this leads people in this era of absolute lack of nuance that social media has brought us to conflate all pro-Palestinians as anti-Jew.
I agree on the 3rd point a bit. But tbh, Shapiro does have a point that Palestinian leadership hasn't been serious about wanting peace. He's absolutely ignoring that Israel since 1995 has also not been serious about wanting peace. The reality is that for the last 2 decades now, Israeli and Palestinian leadership have been stoking the flames of extremism for their own political benefit - at the cost of better lives for Israelis and Palestinians.
The 4th point I think is trickier. When you've got groups like Houthis and Hamas that have explicitly stated their goal is to kill all the Jews, it's hard to say that the extremists - who do have quite a bit of power politically, as we can see, aren't looking at the idea of wiping out Jews and thinking it's a good idea. Hamas and the Houthis of Yemen explicitly say they want to kill Jews - not just Jews in Israel... but all Jews around the world.
But he's not wrong that Ben Shapiro is a lazy propagandist that just throws out statements from better propagandists in order to try to get his wide base of people who aren't very good at thinking to just parrot back that propaganda whenever someone presses them. It blows my mind that people like and respect the guy, he's an absolute joke.