She may be able to attend is she proves: 1) graduation; 2) mom intends to return to India (show employment and property in US); and 3) financial means as to how she will be supported while in the US. It may be advisable to purchase a roundtrip ticket to show the officer. Tickets to India for $1000 are generally not wasted.
You can naturalize based on marriage to a USC or being a green card holder for five years. If y ou claim eligibilty based on marriage, only then can you file after three years. You cannot combine the criteria to shorten the eligibilty date. Since you got your green card through your parents, you must file under the 5 year guideline. You may file 90 daus before your anniversary date.
How did your native country make and error on your passport? How did the US make an error on your visa? At the time of getting your visa did you submit your birth certificate and/or your passport?
My colleagues are correct, you need to resolve your passport issue before you can proceed with correcting your visa.
You must have nonimmigrant intent, however change of status may not be denied based solely on the filing of a labor certification petition or immigrant visa petition.
You should seek the advice of an attorney.
You have multiple entries, but only six months per visit. There is no way around the six month limit while on the ten-year multiple-entry visa. If you overstay your allowed time you can barred from returning to the U.S. Contact an immigration attorney if you are interested in changing your status.
Since it is a different category, it should be "permission to accept employment." It would also be "permission to accept employment" if a previous EAD expired. It would be "renewal" if the EAD was not expired and it was the same category.