Can I file for an EAD card with a Visa I?

The employment authorization document EAD is not available for persons in the I visa classification.

Can I apply for DV lottery if I have passed HiSet and Act tests?

You are required to have the equivalent of 12 years of education. You may be able to establish this

Am I in legal status?

The visa is used for travel and not required for maintenance of status.

Yes you may continue your studies after marriage.

Am I legally in F1 status?

The visa is used for travel and is not indicative of maintaining status. Based on your rendition of the facts it appears you are maintaining status.

Check Fed Ex tracking for delivery. If not delivered or can I track send a second application with explanation.

Yes you must make notification of the change of residence.

30 days process for initial EAD asylum pending ?

The 30 day clock starts upon receipt by US CIS. Unless you are in the limited class noted by my colleague there is no 30 day clock.

When to submit I-693?

The deficiency notice is not required for the biometric appointment. The I 693 must be completed by a designated civil surgeon.

Does an R1 visa confer status if approved?

You do not have R status unless the change of status has been approved.