App Store won't allow me to download/update apps
It will not allow me to download/update apps and is saying I need the password of a previous owner even though I'm signed into my Apple account
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it sounds like your device is using apps that were downloaded by the previous owner. The owner should have properly erased the device before handing it over to you. See: What to do before selling or giving away your iPhone, iPad, or iPod touch [or if you received one that had not been erased] - "Use these steps to remove your personal information from a device, even if you don't have it anymore." Click here --> https://support.apple.com/HT201351
In the short term you will have to delete the apps that were purchased by the previous owner and download them with your Apple ID.