You can check which monsters you have Crowns for in the Large Monster Field Guide menu, found under the Info section of the pause menu. On this page, you’ll notice earned Crowns appear in the bottom left corner of each monster’s icons, as well as on their respective profiles over on the right.

Monster Hunter Wilds' Temnoceran label is a fancy name for a specific kind of monster – spiders. Temnocerans are one of the newer monster categories first introduced in Monster Hunter 4 and with few species belonging to it. Wilds has a few, one of which is brand new, and a smaller variant that's helpful for farming Monster Fluid.