Do you have any include()'s or require() functions in the PHP code for the file?
First thing is you need to look at this line. <a href="<?php echo get_option('home'); ?>/">
That basically determines the anchors link by using the get_option() function using a parameter of 'home'. You need to find if the function is defined in the current wordpress file you are in and then post it here and we can go from there (if you can't figure it out). IF THE FUNCTION IS NOT THERE, there should be some sort of include() or require() or something like that. Check EACH FILE for the function, and when found, post hte function here.
This is now a PHP question so I will ask for a thread move, however I'll follow you along this path of your question until it's solved to make sure it's done :).