Handarod told you of the trials of the dwarves at Glóin's camp in the Misty Mountains and of the plans to finally assault the ancient dwarf-hold of Gabilazan
'I have a dangerous task for you and your companions. The Dwarf Glóin has come into possession of a special key which will allow access to a passage that leads into the fortress of Skorgrím Dourhand.
'Glóin has bidden me send him a group of warriors who -- led by his son Gimli, who knows the secret ways of that place -- will put an end to Skorgrím's treachery once and for all.
'Seek out Gimli in one of the guest rooms on the southern slope of the Vale of Imladris when you have gathered your companions and are prepared to embark.'
Handarod has asked you to gather some allies and seek out the Dwarf Gimli. Gimli will accompany you to the dwarf-keep where the Nazgûl and Skorgrím may be hiding. Gimli is staying in one of the guest rooms along the road that winds up the southern slope of the Vale of Imladris.
Glóin is at his camp in the Misty Mountains, north of Rivendell.
The Nazgûl left the dwarf-keep, commanding Skorgrím to slay you. Fortunately, you were able to defeat Skorgrím, but a fell spirit emerged from his corpse and cursed the Longbeards before vanishing. You should tell Glóin all that has transpired.