I was told by an immigration lawyer that one should not avail the "EI" if they are yet to become a Citizen of the country. I guess it reflects negatively on your file when you apply for citizenship in the future. Wish you the best in finding a new job, try avoiding the EI route.
Also, the OINP Masters/ PhD streams are the ones that do not require a job offer, unless you used it as your proof of funds. Try finding a job soon and when you submit the docs again, share the new offer letter. Alternatively, you can write an email to OINP and attach the new offer letter.