Can I stop tenants messaging me?

Yes. In your messaging settings there's a simple "Allow tenants to message me" switch. When it's on, tenants can start conversations and reply to you. When it's off, they can't do either, so your evenings and weekends stay your own. There's a second setting to email you whenever a new message arrives, which you can leave on so nothing slips past, or turn off when you want quiet. You can change both whenever you like, as often as you like, so messaging fits around you rather than the other way around.