The DX-440 is a great radio for MW but in many areas (like mine) where the signals are weakened you need an external loop or other external antenna to really get the best out of the radio, especially for DXing.
Also, don't forget. The INT/EXT antenna switch in the back of the radio can oxidize and affect reception. Exercise it a few times. If that switch is oxidized, it would affect MW and SW more than FM, being that stronger FM stations would come in even without the whip.
I don't remember if the RF gain actually works on MW, I never have used it on MW.
Ditto on trying headphones. The headphone jack has a switch, and if it's oxidized, it could conceivably affect the sound.