Thanks for getting back here and sharing detailed information about your concern, @TMTLLC. I'm here to provide some details to ensure you'll be able to record and match your transactions seamlessly.

To begin, let's first review the process of recording PayPal transfers. Please refer to this article for the detailed instructions: Recording Paypal Bank Feeds Expenses and Transfers. This also includes steps in matching them in QuickBooks Online (QBO).  

Then, if the program is still unable to match them correctly, you can refer to the steps in this link in fixing mismatched or miscategorized bank transactions. To start, proceed to the If QuickBooks didn’t find the right match section. 

Also, for your other question, you can only edit the date of a transaction by opening the form manually. You can do it after matching, adding, or categorizing the downloaded bank entry. The change may not reflect in the Categorized tab on the Banking page since QBO only depends on the data sent by your financial institution. 

Additionally, here's a helpful resource that you can use as a guide in the reconciliation process to keep your account balance: Learn the reconciliation workflow in QuickBooks.

Please let me know updates on how this goes. You can also leave a reply below if you have any other concerns in managing your transactions. I'm just a post away to lend a hand. Have a good one.