The reset link will only show if you have a rescue email address (which is not the same thing as an alternate email address) on your account. If you aren't getting the reset link then you don't have a rescue email address, and you won't be able to add one until you can answer your questions - you will need to contact Support in your country to get the questions reset.
Contacting Apple about account security : http://support.apple.com/kb/HT5699
When they've been reset you can then use the steps on this page to add a rescue email address for potential future use : http://support.apple.com/kb/HT5620
Or, if it's available in your country, you could change to 2-step verification : http://support.apple.com/kb/HT5570