my dvd drive might be broken, i dont know if it is or no...

My dvd drive wont work. I insert the dvd level into the mac mini, and it wont read. after a minute and lots of whirring noises and stuff, it spits it out. I dont know if my drive is too dirty, or just plain broken, or is it the disk. I cleaned disk 5 times. I think my disk drive might be broken. Also, I am trying to use handbrake. (movie is big hero 6.)

Mid 2010 Mac Mini

Processor: 2.4 GHz Intel Core 2 Duo

Memory: 4 GB of RAM, upgradable to 8. (Right now it is 8 GB 1067 MHz DDR3 RAM.)

Storage: 320 GB SATA disk

Graphics: NVIDIA GeForce 320M 256 MB

OS X Mavericks 10.9.5

HandBrake 0.9.9 x86_64 (2013051800)

Disk drive is a SuperDrive(says nothing else but disk formats that can be written.)