Google-sheets – Why can I only send 100 emails from Google Sheets

Seeing that you are managing your own G Suite domain instead of using Gmail. You will need to ensure that you have SPF, DKIM and potentially DMARC configured against your domain to ensure delivery is optimal.

Authorise email senders with SPF

Authenticate email with DKIM

Add a DMARC record

Additionally, you have the ability to configure how email coming into your organisation is handled by going to Apps > G Suite > Gmail > Safety and configuring reviewing your enhanced email protection settings.

The recommended way to manage multiple Google profiles is by adding People to Chrome so that you can keep each profile separate and essentially avoid the challenge you're facing now.

Chrome allows you to sync data to a single Google account. When you signed into Chrome you synced with your gamil account. You now seem to have logged into another device first with your G Suite account and used that as the synced account.

You now have a few options.

On the device with Chrome synced with Gmail you can either sign out of your Gmail account for sync, then sign back in with your G Suite and decide to link the content that is stored in your Gmail account. Doing so will mean that both devices now sync to the G Suite account and data in your Gmail account no longer is updated.

Or you can create a new Person on that device with the Gmail Chrome profile and sign in with your G Suite account. This keeps your G Suite and Gmail profiles separate and only data that you have from the other device with the G Suite account will move to this device. You can equally make a Gmail profile on that work device.