Does it try to eject and hit the case? If so is the case bent or warped at all?
http://guides.macrumors.com/Force_Eject_a_Stuck_CD_or_DVD
Do you still have warranty or Apple Care?
Btw, the place to put discs in is called a SuperDrive by Apple and is a slot-in Optical Disc Drive (ODD).
I still have the warranty but I bought the Macbook from MacConnection not the apple store. Do they still fix it if i bought it from somewhere else?
Yes. Just go to an Apple Store or an Apple Authorised Repair Shop and see what they can do.