I finally got my Oath date !!! It was definitely an endurance ride, not sprint by any means.
Few things I did in btw, I knew my processing agent ID because they had asked me for a clarification while clearing LCC, I took suggestion from
@Sandy.gal and wrote to him/her, every time they got back within same day with update, I guess once they told me they pushed my file for oath scheduling [which I felt they did because I emailed them] the agent could not do much. From what I noticed every time I addressed the agent ID in email, response was from agent themselves.
Good luck everyone