With project plan 3 (desktop client), can I push tasks to team members who have planner?

I spoke to microsoft support about this and they told me that everyone needs plan 3 to update the status of their tasks that were published in the Project Online. I have read a few posts on this community that suggest otherwise. My questions are:

1. If I publish a project to project online, and sync to planner, will all team members associated with the project get a list of tasks in planner?

2. If yes, is there a 2-way sync? If they mark as complete, is that reflected somewhere?

3. If yes (to number one), what license does someone need to view planner tasked pushed from the online desktop app.