Quest: Do or Do Note, There Is No Try
So you wish to earn more respect from Dharrek? Well, you will need to not just do something for him, but perform a duty for the Direfangs. Since the Direfangs are with constant war with the Reshnok Goblins and the Sithar Trogoldytes, why don't you slay some! Also, if you could collect some grenitine seeds from the fungus growths that bloom along the canyon roads, that would be great too! Do all of this, and live through it, then perhaps he'll consider trusting you more.
Well, let's start with the Reshnok Goblins. These are the goblins you killed in the first step to get the note initially. You can kill either, the 3dot goblins or the 2dot goblins (it doesn't matter which), but you will need to kill a total of 30 altogether.

On your way to the goblins, you will notice mushroom patches every so often on the paths. Loot these mushrooms and you will find that you can loot the
Grenitine Seeds from them. Each mushroom will have 2 or 3 seeds that you can loot, and as you only need to collect 20 altogether, it shouldn't take you long before they are all collected.

After you have killed 30 Reshnoks and collected 20
Grenitine Seeds, you can make your way back to the Vulmane Camp. From the camp, head east and you will shortly hit a camp of Sithar Troglodytes threatening to invade the Direfang outpost. These mobs will all be around level 42-44 3dots, and you may need a partner to take them down. In total, you will need to slay 30 of them, so take your time and get your 30 kills.
After you have done all of this, head back to Dharrek Anshaw, maybe he will be willing to trust you a bit more.