New Planner in Teams - cannot see all my task lists from To Do

Here is how I managed to fix the issue of the task list. 

First, right click on the list in To Do and share it. You don't have to actually share it with anyone, but activating share (you will see a share logo next to the list name) will allow you to assign yourself to tasks. 

Second, assign all To Do lists tasks to yourself. 

You should now see all you list tasks in the new Planner "all tasks". 

The second problem about the "my day" is just a different use case than in todo. To Do let's you choose what task you want to accomplish today VS Planner will give you everything that is due today from all you apps. 

Like this post if it helped you :) !