The quests in this mod are region based every 10 in-game minutes event waves, so you must specify the upper-left corner and lower-right corner coordinates of the map and rewrite (mutatis mutandis) the doQuestIteration function.

Assuming you already know how to create and upload mod on steam (You can ask if not).
1. Go to the Take No Prisoners steam workshop mod folder.
2. Copy the file template_quest.lua or the quest file from TakeNoPrisoners_CONTENT folder and put it on client folder of your mod with a custom name.
3. Mutatis mutandis.

Your addon must obviously require TakeNoPrisoners mod and the PZNS_framework mod.

To get a quest during gameplay, you need a Walkie-Talkie, put it on your belt, right click on hotbar icon and select the option "Listen to Radio Frequencies Nearby", you can now leave and do other things, when the character find something a "quest paper" will show up on your inventory.
You can't store the "quest paper", the quest item can't be saved. You must pursue the quest when you find it or leave it.