October 3, 1963 was a Thursday and according to various pieces of evidence - eyewitness and documents - Oswald was in Dallas after having returned from Mexico City.
He checked in that
morning afternoon at the local YMCA - he registered as a serviceman to avoid paying the registration fee - then went to the Texas
Unemployment Division Employment Commission to obtain an unemployment check (it was for $6) and to get help finding a job. He had been there before in 1962 when he first arrived in Ft. Worth from the Soviet Union. He and/or someone else (the writing looks like it was two people or was done over numerous months) filled out or updated the various forms and listed the Paine address as his home address.
A work history/resume form was filled out/updated at the unemployment office and is here (a 10-3-63 date is on the bottom right):
https://www.history-matters.com/archive/jfk/wc/wcvols/wh19/html/WH_Vol19_0208a.htmHe listed the Paine address in Irving as his home (a 10-3-63 date is at the top):
https://www.history-matters.com/archive/jfk/wc/wcvols/wh19/html/WH_Vol19_0106a.htmHe signed the application/resume/work history here:
https://www.history-matters.com/archive/jfk/wc/wcvols/wh19/html/WH_Vol19_0106b.htmOswald's claims records showing he received a $6 unemployment claim on October 3, 1963 is here:
https://www.history-matters.com/archive/jfk/wc/wcvols/wh19/html/WH_Vol19_0105b.htmShorter: Oswald was in Dallas on October 3.
If the real Oswald was in New Orleans dropping off library books then he was impersonated
in Mexico City and then impersonated here in Dallas for some inexplicable reason. Or he was really in Dallas and the October 3 date indicates someone else returned them or some other innocent explanation such as they were processed later. Which makes more sense?