No, Cake (formerly CakeResume) will not remove any of your previous resumes after the cancellation of resume upgraded-plan.
You will be able to browse, share, and download all of your resumes after canceling the subscription of resume upgraded-plan.
However, you can only edit your FIRST resume after the cancellation (You can still view/share/download the rest of your resumes). You will be able to continue editing all of your resumes after upgrading your resume plan.