1 have a new monster mimic, served is it something to use from equipment (for example, like a ring from a werewolf)
I am not 100% sure what you're asking here. But if the question was whether the Mimic drops a special equipment item, then yes she does, it's a 5% chance and the Item is an accessory called "Mimic Bead".
2 are there any recipes for the Processing tab
Those recipes only appear if you have the required items. For example, if you use the Tanning Knife, and you have Rat, Wolf, Pyrodon Pelts, then there will be recipes to turn them into Leather. The recipes only appear if you have the required items while using the specific Processing equipment, such as a Forge, Mortar&Pestle, Tanning Knife, etc...
3 how and what the increase in Navaks from books such as alchemy affects and why is a combo progress required (you can link to the answer as it was)
I don't fully understand this question. But if you mean stuff like "Alchemist's Will" then it gives +1 to Will Power points. So if your max was 100, taking that will give you a maximum of 101 permanently.
4 I have such equipment (screenshot) that you can find better in it (if any)
There is better equipment, it's made from Mithril and Silver, but you have to craft it yourself. To create Silver and Mithril Ingots you will need a Thunder Forge, which you need to craft as well as special Alchemy Potions.