Yes, you can file for them now. There are no cons except that the principal applicant must still be working for the petitioning employer and not simply change positions because he can do so on the EAD. As for the AP, the only con is that if you have been unlawfully present in the US, you should not be using this as a travel document.
Please let me know if you have any additional questions or if I may be of further assistance to you in this matter.