Applying for a job completely different to your qualifications......

[Starfish]

Yes, you need to put the year you got it, as well as the institution that you got it from. Write a really good cover letter, explaining how you have the skills for the job, then do as Delphmoon suggested, and list Skills Acquired in the jobs that you've had. GL.

[Nai]

Go for it Tan! If you don't you will always wonder "what if?"

As the others said, look at your transferable skills and identify where you have the knowledge. Even without the experience you can demonstrate where you have done something similar.