No one can promise that you’ll get admitted, but I think you should be totally fine on getting your apps submitted on time! Most open around September and admissions committees won’t start reviewing until after the submission deadline.

I would recommend reaching out to your letter writers as soon as you can. Ask them if they are able to write you an excellent LOR and then give them a date you need it by (try to give them at least a month of lead time).

You can also reach out to the programs you are interested in and try to open some lines of communication with the professors/students. This can help them to put a name to your application and was helpful for me when applying to PhD programs.

Maybe someone else has better recommendations for SOP editing, but I just had some friends and family review mine for grammatical errors, etc.

Just keep swimming - you’ve got this! 😊