as long as you or anyone else is not browsing the net on here and installing crap, you should not have any problems...your router is a firewall. keep the windows update patches installed and don't be stupid. the biggest threat to computers is not viruses..it is stupid users that don't know what the hell they are doing.
i am an IT consultant, i fix PCs for a living. 90% of what i see come into the shop is someone complete loaded with spyware because they are stupid.they got a pop up saying they are at risk and they should click OK to perform a scan. at that point they click OK and install some crapware that reports false infections and then wants them to pay $29.99 to remove them. they think they are safe because they use the internet security suite provided by their ISP, or AOL, or even Norton or McAfee. some of the worst computers i have ever worked on had norton internet security installed and it claimed that everything was OK.
use some common sense and you will be fine. i dont run any antivirus on my cabinet, but i do keep a good free anti spyware program on, that i can run on demand if i feel the need...such as Malwarebyte's Antimalware. it is free, works very well, and does not run in the background...it only runs when you tell it to. (unless you buy the full version, which is unnecessary)