Chest is a safe place. Viruses cannot get out of there. This is safer than deleting because, this way, you can test the file again (and correct a false positive detection), you could keep the name of the file (and path) and virus name (for further investigation), etc.
No. They’re safe and cannot harm you.
No.
If you’re sure they’re infected, you can right click the files into Chest and rescan, then you can delete them. You can wait 15 days for instance, keeping the files into Chest.