"Non-system disk Press any key to reboot"- Trying to install Win 7 on Mac Mini

Question

Hello. I'm trying to install Windows 7 on a new-model Mac Mini ('Late 2012'), which I just bought from Apple. [Specs: 1 TB Fusion drive, 2.6 GHz intel Core i7, 16 GB RAM, OS X Mavericks (latest), Graphics: Intel HD graphics 4000, Screen: LG Flatron 24"].
After following instructions on Bootcamp, I tried installing it through my external USB Apple Superdrive (DVD), but for some reason as soon as the system finishes getting things ready and reboots to begin installing Windows 7, I get a black screen with an error message as follows: "No bootable device -- insert boot disk and press any key". Pressing the keys on my keyboard does nothing (even though it's a wired model, not a wireless one.) I'm forced to do a hard shutdown using the power button and hold down the Option key in order to get the system to show the Mac HD where OS X is. It also shows the Windows DVD as another option, but when I select it and the system boots, I just get the same error message again. So I go back to a hard shutdown and reboot to go into OS X again.
Not sure what to do, I did some online research and in one post in the Frequently Asked Questions for Bootcamp, it says for installing Win 7 and Win 8, the computer won't work with external USB drives (*totally nuts in my opinion - Apple has to fix this stuff if they want to entice Windows users into buying their sleek, quiet hardware). Instead, the post recommends creating a Windows 7 ISO file from my Windows 7 DVD and putting it on a USB thumbdrive that Bootcamp is going to use to put all the Apple/Windows drivers on for the installation process. I'm also told I have to unplug my Superdrive (no explanation given for why). So I do all this and get Bootcamp Assistant running again. Unfortunately, as soon as the system reboots after going through all the usual preparation steps, I get another black screen with a new error message: "Non-system disk Press any key to reboot". So I'm at a loss for what to do next.
(I've also have an iMac that I bought more than a year ago that I also put Windows 7 on, with no problems that time. Go figure.)
If anyone here has an good answer for how to proceed, I need to know. Thanks in advance!

Answer 1

Here they are:
cygnus-x1:~ LantS$ diskutil list
/dev/disk0
   #:                       TYPE NAME                    SIZE       IDENTIFIER
   0:      GUID_partition_scheme                        *121.3 GB   disk0
   1:                        EFI EFI                     209.7 MB   disk0s1
   2:          Apple_CoreStorage                         121.0 GB   disk0s2
   3:                 Apple_Boot Boot OS X               134.2 MB   disk0s3
/dev/disk1
   #:                       TYPE NAME                    SIZE       IDENTIFIER
   0:      GUID_partition_scheme                        *1.0 TB     disk1
   1:                        EFI EFI                     209.7 MB   disk1s1
   2:          Apple_CoreStorage                         443.3 GB   disk1s2
   3:                 Apple_Boot Recovery HD             650.0 MB   disk1s3
   4:       Microsoft Basic Data BOOTCAMP                556.0 GB   disk1s4
/dev/disk2
   #:                       TYPE NAME                    SIZE       IDENTIFIER
   0:                  Apple_HFS Freedom (Mac HD 1 TB)  *555.8 GB   disk2
/dev/disk3
   #:                       TYPE NAME                    SIZE       IDENTIFIER
   0:     FDisk_partition_scheme                        *16.0 GB    disk3
   1:                 DOS_FAT_32 WININSTALL              16.0 GB    disk3s1
cygnus-x1:~ LantS$ diskutil cs list
CoreStorage logical volume groups (1 found)
|
+-- Logical Volume Group DB9C188B-5B09-43DE-BA9A-1CBB53ED19C4
    =========================================================
    Name:         Macintosh HD
    Status:       Online
    Size:         564333961216 B (564.3 GB)
    Free Space:   49152 B (49.2 KB)
    |
    +-< Physical Volume 415AE4A2-2CDB-4C8B-AE00-7A14014B3EA0
    |   ----------------------------------------------------
    |   Index:    0
    |   Disk:     disk0s2
    |   Status:   Online
    |   Size:     120988852224 B (121.0 GB)
    |
    +-< Physical Volume 829492A1-0BC2-4358-A778-C008C03D00F7
    |   ----------------------------------------------------
    |   Index:    1
    |   Disk:     disk1s2
    |   Status:   Online
    |   Size:     443345108992 B (443.3 GB)
    |
    +-> Logical Volume Family C37DA9C0-00E7-46A4-90EC-548204BFB908
        Encryption Status:       Unlocked
        Encryption Type:         None
        Conversion Status:       NoConversion
        Conversion Direction:    -none-
        Has Encrypted Extents:   No
        Fully Secure:            No
        Passphrase Required:     No
        |
        +-> Logical Volume B769E601-F56F-4F83-A5B5-4378159FF8B9
            Disk:                  disk2
            Status:                Online
            Size (Total):          555826479104 B (555.8 GB)
            Conversion Progress:   -none-
            Revertible:            No
            LV Name:               Freedom (Mac HD 1 TB)
            Volume Name:           Freedom (Mac HD 1 TB)
            Content Hint:          Apple_HFS
cygnus-x1:~ LantS$