Your connector is how you save items/records from the web to your downloaded, Zotero library (software).
Zotero should automatically appear in your Microsoft Ribbon (toolbar). It happens and could be due to an older device, an old version of Microsoft Office, or with Macs. it just varies.
It happens, especially when you save items/records from the general web, like Google. Good thing you can edit in Zotero. Do NOT edit the citation in Word if you have used the in-text citation add feature. Edit in your Zotero library.
When you are in your Zotero library, click on the title of the record that is incorrect. On the right-hand-side, you can click into those fields to edit the title, author, etc. Make your edits.
If you noticed the error by using the in-text citation addition feature, then go back to your Word document, go to Zotero in your ribbon/toolbar, and click refresh. The reference will updated based on your edits from your Zotero library.
If the PDF is old or has incomplete data (often happens when saving PDFs from websites, not library databases) it will be unreadable to Zotero. Which means even after you drag/drop it into Zotero and retrieve metadata, it will not create your record. You will have to do so manually. Under the Adding Citation Data tab, see Manually Add... and Attaching Files...)
Make sure that in your Zotero Library preferences, under General Settings, that the box is checked to automatically identify and attach PDFs.
Sometimes Zotero cannot find a PDF from where you are saving the record. You may have to manually add the PDF as an attachment to your record after you save it to your computer.
By default, your data - including your attached documents - will be stored on the Zotero servers. Zotero offers 300MB of storage for free. Once you reach this limit, you'll need to pay Zotero for additional storage space. Prices start at $20/year for 2GB of storage.