Creed,
Sounds like you don't fully understand the process. The way it works is that you have only one external static IP (or Dynamic with something like DynDNS) that you get from Verizon. That routes the data to your site. Then you need to control what goes to what internal IP adresses (like Auto cashier, DVR, etc) with ports. Consider them as doors...your external ip address is like your apt building address and the ports are like the different apts. Some services (like a DVR) could use multiple ports (some for remote view, some for mobile device view, etc). They should be listed in the manuals.
In the case that you have multiple devices using the same port (like port 80 is very popular), you'll need to change that in the device itself or do some translations in the router. So say your DVR and auto cashier both use port 80 and the manufacturer won't let you change it, you can setup your router to Verizon static IP (the one you where given (xxx.xxx.xxx.xxx) port 8080 goes to DVR internal ip address 192.168.1.123 port 80. So when you want to connect to the DVR, its 192.168.1.123 port 8080 and when you want to connect to the auto cashier is 192.168.124 port 80.
You'll also going to want to make sure those main devices, like auto cashier, IBA, DVR, etc have static internal addresses, so they don't keep changing on you and messing up your routes.
This is fairly simple networking...if you don't really understand it, get someone who does. He'll save you some headaches and get it done right so there are no conflicts.