Please complete your timelines. Not sure when you entered the US but SSA will not issue a number beyond the 75 day mark of the I 94. Others may have more experience with the Vietnamese naming convention. For the I485 list the desired name first. Any other names should be listed below the first line on form.
As for state ID, you have to wait until the employment authorization is received. Definitely spend the extra money for it.
File the I485 as soon as possible and carry the receipt notification as proof of Status