Hi, I'm Robert and I'll be helping you with your computer question.
that would depend a lot on your network and what physical firewalls were between the network and the internet. If those are good than the firewalls on the work stations are not that important.
But you should be able to set those firewalls to allow the program access to the server, so that you do not have to do that.
you should be able to set the entire local network as safe
and/ or to set that program as safe
i would need to know what program you are using to tell you how to do it. Its usually a default unless you set it to highest security levels instead of average.
I can log in remotely to do it for you if you want to pay a little bit extra