Why won't the discs play?

May not have been finalized properly and is therefore corrupt.

Check the mode of operation. There can be a setting where it just plays one disc. Random or mixed will give you more songs to get to other discs.

It sounds like buy your details, That i will compliment you on, Are to the point not like some other people asking questions on hear, That the lazer is shot, End not reading the info off of the disc any more, It is verry costly to have it repaired, Just look for a different one, I have got good used ones for friends of mine for $7 to $30 at the most, From thrift stores or privately, Hope this helps you out.

If it takes and accepts the disc but will not play it is either a mechanical issue (table not spinning the disc) or if not reading disc it is likely a dirty or bad optical pickup in the unit---

It's dying. Buy another one off ebay for cheap.

Dirty or bad optical pickup in the player----bad: cheaper to buy another than replace the part.

Might be.

In computers there is no real randomness.

http://www.google.com/search?tbm=isch&hl=en&source=hp&biw=1195&bih=959&q=Denon+DRM710&gbv=2&oq=Denon+DRM710&aq=f&aqi=&aql=&gs_sm=e&gs_upl=1283l2359l0l2627l2l2l0l0l0l0l240l240l2-1l1l0

Repeats are not forbidden in a true random pattern anyway.

Have you tried a blank disc with "audio" or "music" marked on it? It won't record on data discs.

You will probably have to get a new copy of your disk, but there is one other option that is worth a try. If you can find a "CD Repair Kit", try running your disk through that and then see if it will play. A CD Repair kit uses a clear resin to fill in scratches on the surface of a disk, removing the reason that the disk will not play. It does not always work, but a CD repair kit is much cheaper than re-buying a game you have already spent money on. try this one:
http://www.google.com/products/catalog?hl=en&sugexp=ldymls&xhr=t&q=cd+repair+kit&cp=10&qe=Q0QgUmVwYWlyIA&qesig=xwNELoNXZWL51NsEp4qaDQ&pkc=AFgZ2tmN04my0ZH7YSJ8Bm2TbmKLmrTNSO4UralGK__lMqTX9gVtI2mRc3n9Qafuq5pUbu-BnQewzPJ-QN9PQ14ScYAY8N9Lhg&bav=on.2,or.r_gc.r_pw.&biw=1024&bih=650&um=1&ie=UTF-8&tbm=shop&cid=16739641775731144756&sa=X&ei=6wHfTc_VNIi_gQfCyczPCg&sqi=2&ved=0CDAQ8wIwAA
This should be able to help you repair your disk. The best part of buying this is that you can use it on any disks that you have that skip or do not play. It will not ALWAYS work, but it is worth a shot -- especially if you spent $50 or more on the disk in the first place.