For which specific platform are you suggesting this, if I may ask? There are already daily ‘quests’ on the Java network that provide you with plenty of nice rewards such as cubelets, et cetera. All of these quests are already spread out over the different games. ;)
If this is about Bedrock, I can’t say much because I don’t play it at all. Although, I’m sure it would be nice to have daily quests on there as well!
I like the idea of weekly quests though. They could provide the players with much better rewards, but of course, be more difficult to do.