In that template Logo create as Text with HTML/CSS styles.
Now it defined in index.php file section has comment "new_text_logo". You may change that with help yours template edit. in Extensions->"Template manager" menu
I don't see the email icon, there is only a question mark.
Sorry I not full clear what place you mean, but if for every house - "e-mail' text special created as this template style for email (sorry I not see there are questions marks)
I don't see the users log in anywhere in the website.
You need go to site admin "Module manager" press button "NEW" select "Login" and add login module to any yours site position