Hello 
The short answer to your question in the title is no.
Admins can obviously see emails. However, with moderators you can allow them to see emails by checking this site setting moderators view emails. What is the reason for this? Just curious 
You can add TL4 to the delete all posts and topics allowed groups site setting. This would however allow them to delete all posts, not just spam posts.
TL4 don’t have permissions to delete / manage user accounts. This is something moderators can do. You can see what different TLs do in this table