I will answer your questions, one at a time below

https://www.halfpricesof...ware/payroll-oversea.asp 

2. For direct deposit, you can use our ezACH software with ezPaycheck. We offer the free demo version of ezACH software also.
ezACH can generate the ACH file that you can upload to your bank to process the payment transactions.

3. ezPaycheck does not support time tracking feature. We have another software, ezTimeSheet. It supports time tracking feature.
ezTimeSheet, ezPaycheck are desktop application. If you prefer to use online system, we have online payroll and time tracking system. But desktop version will be less expensive.

4. online payroll and time tracking
https://online.halfpricesoft.com/ 

5. We have many QB clients. customers get the summary data from ezPaycheck reports and enter it into QuickBooks manually. This solution may work for you also.
How to use ezPaycheck payrolll software with QuickBooks
https://www.halfpricesof...zPaycheck_quickbooks.asp 

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We are looking for a payroll solution for Puerto Rico:

Please confirm the following:

1. Do you process payroll for Puerto Rico?
2. Do you have ACH payroll capabilities?
3. Do you have a time tracking function?
4. Do you integrate with Quickbooks Online?

Thank you