SharePoint Calendar Issue

I have created a SharePoint calendar I wish to use to track maintenance activities for third party suppliers. Each time they send an email, I will drag the email to this new calendar in Outlook and amend the date time to create a meeting that shows the maintenance activity. I have done this as I don't want to block my calendar time. 

This part works, but how can I share this with the rest of my team? Currently although they are part of the SharePoint site, they cannot see these meetings in SharePoint. Is there a way to default this, or do I have to create a DL for the team and add this DL to the meeting invite?