Yes 🙂 

No - please note if a course is already logged as completed for a date prior to January 9 - 30 within Academy then this will not be considered eligible. Only learning pathways logged as completed between January 9 - 30 are eligible

Since this is outside of the eligibility window, you would need to complete one of the other alternative learning pathways between January 9 - 30 to qualify for the incentive.

Completed one of four module yesterday. If I continue the remaining 3 modules from 9 Jan - 30 Jan , am I still eligible for the 50% discount ? Or I need to pick another learning path and complete all of the modules within the period? Thank you

I am thinking, would retake the test that i completed earlier make me eligible for this event?  Since the condition is to have the completion within the duration. Appreciate advise. Thank you.

I think you need to have vocareum lab access to access notebooks and code shown in demos.

Many thanks for the heads up. I notice that its a paid subscription service, which I'll probably only use for this purpose. That's disappointing. Are there any free alternatives?

As of now there isn’t one I think. But if you still want to do the code then they walk through whole code in demos so I think one can do it by themself after code walk through.
But there is another limitation you won’t be able to access dataset used in those labs and demos. 

No, to confirm this is only open to Customer Academy users. Please reach out to your Databricks Partner representative for further information on partner certification initiatives.

Yes