@teamits is correct. The ALERTS tab will list SRC and DST addresses for detected alerts. He is also correct on which IP will show depending on the chosen interface on which to run Snort. I recommend running Snort on the LAN interface. That way you can see internal addresses before NAT rules are applied (in the case of outbound traffic) and after NAT rules are removed (in the case of inbound traffic from the Internet). On the WAN, all local IP addresses behind NAT will just show up as having your public WAN IP. That's not useful for tracking down which internal host has a problem.
You should pretty much always let Snort block both SRC and DST IP addresses to be confident the bad traffic is stopped. Anti-virus software has no bearing on this. It detects different things and misses other things. For example, anti-virus software won't detect buffer overflows in your web browser or services. Basic anti-virus software examines executables as they run (or right before), but it does not examine network flows/streams like a true IDS/IPS such as Snort or Suricata.