You don't have to get every verse, but it helps. Here's how the scoring system works:
Pure Platinums: 5
Platinums: 4
Gold: 3
Silver: 2
Bronze: 1
Stone/skipped verse: 0
Say you got 3 verses like the prologue, get two platinums and one gold. That's 4 + 4 + 3 = 11. Divide by the number of possible verses, 11/3 = 3.67, that rounds up to a Platinum for the chapter.
As you can see, its possible to get Platinums by skipping verses, but its highly beneficial that you don't. Even getting a silver will net you two points, where skipping gives you nothing. Its like when your teacher says to turn in your half-assed homework anyway, "better than a zero".
As for items I used, Set A I had Sharuba(unlocked after beating the game and buying OG Bayonetta outfit) with dual swords on feet for all sword action, and Set B was dual Chainsaws on hands, whips on feet. Chainsaws are the real damage dealers, they eat up bosses and heavy enemies, especially when you hold the button down for each swing. For lighter enemies, this might kill them too fast, but for bosses? FUGETABOUIT! Spam the chainsaws, you'll get platinum combos like crazy.
When they're far away, you have a few options when your chainsaw doesn't reach. You can use Umbran Spear to teleport instantly to their location, only cause one magic ball. You can use the Panther mode to move quickly across distances. You can always use the pistol to fill in gaps in your combo meter so it doesn't drop. Also, in between enemies spawning, you can hold the taunt button down. As long as the taunt is going, the combo meter "drop rate"(about 3 seconds) will stop momentarily. Just make sure to cancel the dodge with a gunshot or whatever before the enemy sees it, Enraged Enemies are NOT something you wanna fuck with, lol.
When surrounded by lesser enemies, like the little flying fuckers, the whip is great for crowd control. The best combo, when whips are on feet, is KKK-pause-K, this will do a wide-ranging horizontal Wicked Weave that sucks up just about everybody in the area and can get you a lot of points very quickly. You can also use the normal KKKK combo for a vertical Wicked Weave if you're focusing on one person at a distance the chainsaws can't reach immediately.
Umbran Climax is really fuckin' powerful. You can hold everybody in place with them, especially with the chainsaws. Dodge, abuse witch time, and as soon as you come out of witch time hit the Umbran Climax for maximum hitstun time. Hold the chainsaws in-between each hit for maximum damage. Chainsaws don't have Wicked Weaves, but the fourth hit/finisher will send them flying a bit so prepare to panther/umbran spear back to their position. You can also turn off Umbran Climax in the middle of its duration, say when you only have one enemy left and you're not worried about getting hit, or you put a boss in a traditional dizzy state and you don't wont to waste it. You can build up magic meter in earlier encounters, plan ahead a bit, then use it for troublesome areas. You can max the magic out to 3 bars, so you could potentially be heading into boss encounters with 3 full Umbran Climaxes, makes encounters a lot more managable.
Finally, items. Controversial change in that they allow you to use items now, the only punishment is you don't get the +5000 "No Items' bonus at the end of the chapter, oh noes. Now personally, I swore off from using them, but I can see how they could help. Red might fuck you up score wise on anything that isn't bosses, and green won't make your damage for the verse go back down. However, keeping in mind how useful Umbran Climax is, having a purple that can fill it right back up? Very powerful tool. And the yellow stops damage from happening entirely, so there's that, too.