A:AnswerYes. Regarding tracking; I'm not sure about CD, however, the unit will retain memory of where the DVD disc was left off at - but not if disc was removed. Based upon that I would have to say in all probability CD's work similarly.
A:AnswerFront right at bottom as viewed from the front. It can be difficult to detect with ambient lights on, however, the green/red is very distinguishable.
A:AnswerThere is not a case with the unit, however, I purchased a nice one from amazon for this player, search:
"Hard Travel Case for Sylvania 13.3-Inch Swivel Screen Portable DVD Player by co2CREA". The price was $20.