My '94 CD player had those same symptoms.
Unfortunately, the CD player died completely (loading/ejection mechanism was busted completely) about 2 months later. Honda wanted $200 to fix it. 
I'd say it's time to start shopping around for an aftermarket headunit you might be interested in.
I got a sweet Pioneer 45x4 HU, it sounds great and takes up only half the space of the Honda OEM one.
I'd say it's time to start shopping around for an aftermarket headunit you might be interested in.