thank you, dkarim, for your response.
i was able to figure out what caused the permissions error, which is probably of a different nature than that posted by pillage. prior to getting the error, i had reset all user accounts on the NAS, and doing so supposedly allowed any user to read/write to the NAS. but after i did that, i simply couldn't copy anything to most folders (yes, strangely, a couple of folders didn't have this problem). in the end, i decided to just re-create my former user account, and voila, i was able to copy files to the NAS again as well as delete files from it.
apparently, if you attempt to write to the NAS using a different user account, you'd get a permissions error, even if your new user account has read/write privileges. this is something d-link should look into and fix.