Go to this link, eevrything is well explained there.
http://www.shusterman.com/concurrent.html
Yes, you can apply for EAD and Advanced parole immediately.
I do not think this has anything to do with a consular processing. However, it should not be difficult to switch to I-485.
Good luck!
SUMMARY: The current Immigration and Naturalization Service (Service) regulations provide that an alien worker who wants to apply for permanent resident by filing the appropriate Form I-485, Application to Register Permanent Residence or Adjust Status, cannot do so until he or she obtains approval of the underlying petition, Form I-140, Immigrant Petition for Alien Worker. This procedure has resulted in an unnecessary delay for certain alien workers. This interim rule amends the Service's regulations by allowing the Form I-485 to be filed concurrently when a visa is immediately available, thereby improving the efficiency of the process as well as customer service. This interim rule also provides that, if an employment-based visa petition is pending on July 31, 2002, the alien beneficiary may obtain the benefits of concurrent filing, but only if the alien beneficiary files the Form I-485, together with the applicable fee and a copy of their Form I-797, Notice of Action, establishing previous receipt and acceptance by the Service of the underlying Form I-140 visa petition. Further, this interim rule will allow the alien worker to apply for employment authorization using Form I-765, Application for Employment Authorization, and for advance parole authorization using Form I-131, Application for Travel Document, while the Form I-485 is pending.
