Steps 18--> are not all correct.

K-3 can't apply for a Social Security number without an EAD, which can't be applied for until entry.

K-3 wouldn't apply for an AP.

No mention made of Consular Processing for the Immigrant Visa, a very common step in lieu of AOS.

There's probably more, but I'm on the run at the mo...

PS: I'd explain things a bit more, too. Like "*K-3 Visa is a multiple entry visa good for 2 years." explain what that actually means to the bearer.

Most aliens who have pending applications for immigration benefits or for changes in nonimmigrant status need Advance Parole to re-enter the U.S. after traveling abroad. Aliens applying for advance parole on the basis of a pending application for adjustment of status must be approved for advance parole prior to leaving the United States in order to avoid the termination of their pending application for adjustment. Note: this does not apply to aliens who have applied to adjust to permanent resident status and who maintain H-1B (Specialty Worker) or L-1 (Intracompany Transferee) status, or their dependents, who have applied to adjust to permanent resident status and who have valid H-1B or L status and valid visas, V nonimmigrants who have a valid V nonimmigrant visa, are in valid V nonimmigrant status and have or obtain a valid V nonimmigrant visa before applying for readmission to the US, and K-3/4 nonimmigrants who have applied to adjust to permanent resident status and who have a valid K-3/4 nonimmigrant visa, are in valid K-3/4 nonimmigrant status and have or obtain a valid K-3/4 nonimmigrant visa before applying for readmission to the US. Refugees and asylees who have applied to adjust to permanent resident status under section 209 of the Immigration and Nationality Act may travel outside the United States on a valid Refugee Travel Document and do not need to apply for advance parole