Gmail – G Suite multi account access (one login)

Yes, you can add aliases to email IDs in groups. Check out this help doc to find out how exactly you can go about it: https://support.google.com/a/answer/2727156?hl=en

I'm guessing once you add email aliases, more customers are going to be able to reach you. But in Groups For Business, the chances of your team missing out on an important email are quite high, given that it's hard to assign emails, find out who is doing what, and track the status of emails on the platform.

You could try out Hiver - an email collaboration platform that works on top of Gmail. Your teams can basically manage all shared inboxes right from their personal Gmail accounts, collaborate on incoming emails seamlessly, and ensure that no email slips through the cracks.

With Hiver, you can delegate emails to team members in a click (without forwards and CCs), track their status, and also monitor performance of each member through key metrics such as average response time, and no. of emails closed, and more.

On top of that, your teammates can communicate with each other through notes, without sending internal emails, and also work together on customer replies (edit and comment) in real-time.

You also have the option of adding email aliases for your shared inboxes, on Hiver.

I had a similar problem before. I just did some more test, and here is my conclusion:

• "Make changes to events" is not available for "Make available for organization" (the last two options are grayed out for me also).
• You have to explicitly invite users...
• Or you can create a user group, add members to that user group, and then invite the user group. For example, we have a "all@company.com" user group which includes everyone. User group is also handy for sending mail to people in a group or for sharing documents with a group.
• However, if a user group includes external users, they aren't granted access to the calendar. You have to add external users individually.