No as it will reach USCIS during the 90 day window.

Yes you may apply for a tourist visa while the GC is pending.

Likely yes but more information is needed re: criminal matter.

This is not a requirement of a tourist visa and your relative can apply directly on her own.

The decision would be pending based on information provided.

Up to the period authorized on the I94.

This would need to be coupled with actual evidence of abuse. Consult with an experienced attorney for guidance.

No this should not impact future extension requests.

No this shouldn’t be an issue while the GC is pending.

Your parents could file for adjustment of status without the need to apply for an extension.