May i know where i can complete the following quests?

Out of Ink
Ink 0/1

A new dagger
Ornate Handel 0/1

The ink you get as a monster drop from a Loss Daruma, which you will likely encounter if you do the main story's quest.

For the ornate handle, it's a drop from the boss in the Underground Cavern, I think. Which is also part of of the main story's quest.

Ok i just got the handel, sorry may i know where is the loss daruma located?

Underground cavern and ritual of rites

Loss Daruma are everywhere Ritual of Rites and post. Kazuma always drops the handle just about too, so you should be able to get that awesome magatama in one run.