If you ever need to reprint all your labels for your shipments you can use the Bulk Print button on the UPS list view to do this.
Just select the shipments you want to print and click the Bulk Print button:
You will then be taken to the bulk print page where if you want to can change the printer used.
As you can see its also able to print the international forms if you have any.
Click on Print All, and they will all print out.
If you have upgraded your app and you don't see this Bulk Print Button follow these steps below:
1. Go to Setup > Create > Objects > UPS Shipment
2. Under Search Layouts, click Edit for the UPS Shipments List View
3. Select "Bulk Print" and add it to the Selected Buttons.
4. Click Save
That is all done, now you can print labels all in 1 go.