A:AnswerI do believe there is a shuffle function which allows for it to shuffle songs, but it'll still only play one CD at a time. And no, I am not familiar with an ACLC for this device.
A:AnswerYes this player comes with a remote. If you don't have it there are multiple web sites where you can purchase one as I have done in the past for other audio/video equipment.
A:AnswerI don't think so. The manual states various CDs but does not state DVDs. Manual states that only CD formats supported. I have no DVD music so I cannot say if the unit will play them.