walls1010

You can send back the original ASC appointment and request another appointment by sending all the records of your husband from the hospital as a proof as the reason why you didn't make it. You can also call them about it and they will give you a reference number, another option was once a week there was a walk-in at the ASC, other place the walk-in day was Saturday and some place was Wednesday, check the nearest ASC in your place, you can also go by yourself without your husband because they will only take your finger prints and photo, as well your signature.

You can use Lara Sofia Lopez in your marriage certificate. Here in the US, Lara will be your first name, and your middle (2nd) name would be Sofia. Yes, you can use your married name Lara Sofia Smith to adjust your status. Congrats to your upcoming big day and goodluck to the rest of your journey.

Sorry, the 10 yrs old can't help her father until she reach 21 yrs old.
http://www.uscis.gov/files/form/i-130instr.pdf