Problems with plugins that require pasting code into page

Hello,

I recently installed both the “Contact Form 7” and “WP Render Blogroll Links” plugins. I have found that they both require the blog owner to paste a specific code into the post or page they wish to display the result (which in this case is either a contact form or a display of my blogroll/links on a page). I have both a contact page and a links page I wish to use these plugins on. My problem is that when I use the provided codes “[wp-blogroll] OR [contact-form 1 "Contact form 1"] and paste them into a page, I get no result at all.

Is this some sort of issue with my permissions? I just moved servers and have had some trouble getting everything to work. I thought I fixed everything after changing some permissions but now I am having these problems with the plugins.

Any guidance would be appreciated.

Thanks!