Thank you for getting back to us, shej.
I can clarify things out for you on why deposits won't show up on the customer quickreport. A deposit is a bank entry that you need to record as income to a certain account on your register.
Hence, the customer account doesn't include deposits. I can provide the steps so you can see what transactions are included in the customer's account.
- Go to Customers, then Customer Center.
- Click the name of the customer.
- Select the Transactions tab.
- From Show, select All Transactions.

Also, please know that QuickBooks Desktop also uses a concept called Source and Targets to apply accounting principles and processes.
You can browse this link and proceed to How QuickBooks generate reports: Understand reports. It includes customizing and memorizing a report.
Please update me by commenting below if you have additional questions about running the customer quickreport. I'm always right here to provide the information that you need.