Console app can be opened through various means, not the least of which is a Spotlight search including a few characters and a return. In isolation, I'd not expect issues with an open app.
If you are concerned, steps here would include wiping and reloading the Mac, given the severity of the compromise here you are claiming. Basically, what you are writing about and fearing is a catastrophic failure of your local security and either a failure of or bypass of your external network firewall, assuming a typical small office or home office Mac setup. The recourse there is a wipe and reinstall from known-good sources, and potentially also your network firewall. A wipe and reinstall is something I would not expect is necessary here, absent more evidence of compromise.
If the IP address is in the 17/8 block, it's Apple. If not in 17/8, it could be Apple, or it could be any number of other apps or service providers. IP addresses and log data more generally are less than useful in this and similar contexts. Not without something to look for.
That you might not be familiar with a log or three doesn't indicate it's at all unusual to others. Apple has shuffled those around, and various apps keep their own.
With what's been posted and then expurgated, I don't think you're going to get an answer here, past changing your passwords and updating to the most current macOS supported by your Mac, and similar longstanding recommendations.