Yes, you can run another batch of employees with the same date, @PC2017.
This is possible if you create a multiple pay schedule with the batch of your employees. Also, there's no limit to the number of employees you can add to the QuickBooks system. However, you may start experiencing performance issues if you exceed the number of employees.
For more details, you can visit the article below: QuickBooks Payroll Services and Features for QuickBooks Desktop.
I've added an article that you can utilize to prepare your tax forms, as well as suggested tasks for filing your taxes or reviewing your employee and company information: Year-end checklist for QuickBooks Desktop Payroll.
Feel at ease to let me know if you have other payroll concerns. I'm more than happy to help. Have a wonderful day.