No. With either one you can configure IPs inside your network. Dynamic/static IPs are referring to your ip that you get from your ISP. It depends on your business size, but generally if you just need access to the internet, go with dynamic. You would only need to pay for static ip for a specific reason, for example if you were going to host your own website.
Since you need access to your NAS from anywhere, static ip would be the way to go, if it is worth it to you (there are ways around it like dynamic dns). All the other things in your list would not be affected by dynamic ip.