well PXE-61 : Media Test Failure , Check Cable. PXE-MOF : Exiting PXE ROM is the system trying to boot from a network drive (this can be turned off in bios settings (Network Lan boot option) not that it affects the drive not booting either way.
1. time to open cover and see if the drive is properly seated, pull it out push it back.. and try to boot,
2. otherwise to make sure it is not a motherboard issue I would put the drive in an usb external enclosure and try to access the data on the drive from it that way.(using a different computer of course)
3. if you can access then like there is nothing mechanically wrong with your hard drive (except maybe the boot strap is messed up) you could try from that same pc access ing the drive to boot from the external usb drive to see if you get same message. if you do, then likely your mbr is messed up if it boots then is the sata controller on the laptop chip that has died on you.
what make and model is your laptop ? (dell Inspiron 15-xxxxxx look on the label)