If you want to transfer the quests you had in one world to another, just transfer the quest_component file in the same folder of the new world.
To find the quest_component file, you will need to follow these instructions:
Click on the folder symbol of your world, see the picture below.
https://imgur.com/rhErt1h
Then you click on the folder Master in the window that opens, then again on the folder save.
There you will find the quest_component file.
Now generate your new world, stop it. Then follow the same instructions to get to the save folder of your new world and then copy the quest_component file in the save folder of the new world.
That's it, you're done!