Hi Anne,
I'm sorry that the transition to the new Cox Email platform hasn't been an easy one. We're working to fix the issue where email is automatically check-marked. Change is challenging. I, too, was at first frustrated that deleting an email (from within that email) takes me back to the Inbox. I solved that by changing my screen view as follows:
Click the "View" drop-down menu in the upper right-hand corner of your Inbox. Select Horizontal. This opens a preview pane at the bottom of the screen so you can preview each email. Now when you delete the email displaying in the preview pane, the next email pops into view. You eliminate the time it takes to go back to the Inbox and open a different email. Give this a try and see if it works for you.
Also, I think I can help with the problem you mentioned of composing an email and not knowing if you are using the correct email address. Click on Contacts from the top left menu bar. Choose a contact and click Edit. Correct the first and last name for each contact, and make sure the primary email address you want to use for each person is saved in the Email 1 field. After you have made changes to each contact, click Save at the bottom of the page.
Once all the entries in your Contact List have been edited and saved, it is easy to select the email address you want to use when composing a new email. For example, I have two email addresses saved for my friend Anita Smith. To send her an email, I click Compose and type "Anita" into the "To" field. A pop-up with both of her email addresses is then displayed. I can easily choose which address I want to use. Once you edit each of the entries in your Contact List, I think sending email will be a breeze!