Will my greencard affect parents' B2?

I have sent my (inviter's) document to my parents for their B2 application late this month. At the time when preparing my document, I was in H1 visa.

I just got my greencard. My parents haven't gone for their B2 visa interview yet.

I have the following questions. Please help.
1. Do my parents need to update DS-156 to change my status from Working to Permentent resident
2. Do I need to send a copy of green card? I have sent them a copy of my I-797.
3. Would my green card prevent my parents getting B2?

Thanks a lot.