It is difficult to say, if KAV has report a false alarm or not. It is a bit tricky to find out. Maybe the Doc was infected once with that virus and wasn´t clean properly, or it contains some macros leftover in the Pcode or sourcecode? Easiest way to find it out, is to send that file to newvirus@kaspersky.com and support@asw.cz . I think both of them will tell you if it is a Virus or not.
The thing with the vice Virus could be a false alarm from Avast. I know they have false alarms on that Virus. Send that file to support@asw too.
It is allways usefull to use two scanners and Kaspersky is a very good choice to get a second opinion!