Was it showing before? It seems your that area width is too narrow. As you are pro user, can you open browser developer menu and increase width of that area and see if that helps?
You can turn off the auto-suggestion. Please go to Front End PM PRO > Settings > Recipient then set “Max recipients” to 1 and unchecked “Show Autosuggestion”.
Now user need to type username of that user to send message. No auto-suggestion will be shown.
If you remove this code does name shows?
Can you please give me a screenshot of the code where you added?
To show GMT+-X please add that after GMT in the code above.
Group and announcement emails are send using cron, So it may possible after changing that value cron was reset and start sending emails. I have seen this behavior before with some of my users.