In real life, you use the context. Here, in a listening exercise, I believe both "эта неделя" and "Это неделя." should be accepted. Report it.
Э will, I think, forever be pronounced "ee" while е mostly pronounced "ye" escpecially when itiks the first letter
Tell me, to a native speaker, does this sound completely different than "это не дело"? (I believe we can use this to say, 'this is not business")
What is the difference between this and saying "this is a week" as if you were pointing to a calendar to show that it's 7 days?
Is the meaning "current week" or could it refer to "the week one is talking of", either in the past or future?
Because it refers to this week in particular; with "это" it would mean something like "it is the/a week" (which doesn't actually make sense).
Is the 'я' sound pronounced as a 'а' ? Is there a rule to know how pronounce the 'я' ?