I think I'm using that wallet for a month now... what should I do with it?

Nothing, it's too late to do anything.
Just kidding)) It's a common case with wallets. IRCBot is detected because there is a code for syncing using IRC, devs can clean the code and reduce detection to 1 / 66 or even 0.
ALTCOM coin did that, learn from them))
Thanks for giving me an advice. So was the Signatum wallet indicated as virus because of false-positive, or actually there was a virus inside?
I used Norton Power Eraser, and system full-scan on my PC, but is that enough?