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The second story sounds like episode 12 of Inuyasha. It has the girl and her sick brother, the coat on the heater causing a fire, the girl returning as a ghost wanting to kill her brother, followed by a demon. The demon's eyes got bigger through the episode, and at the end it tried to drag the girl to hell with chains. [1]
If it's not that, then it might be based on the same demon (tatarimokke). Also, I don't remember a story like the first one in Inuyasha. Episode 11 was about a creepy mask possessing people.

So, I watched this anime (?) a long time ago. It had some different horror stories (I rented the DVD at the time) One of the stories was about some girls and they had stolen pencils (?) from a store and they were kidnapped and became mannequins in the end. You could still hear the girls crying. The local where this character (i don't even remember who this person was) hid the victims was underground (i don't know if it was a sewage or a subway). The other story was about a girl who didn't like her brother and he was sick that day. He had fever. And she was so angry that she locked herself in some room while a cloth was left on the stove. A fire broke out. And she died. Her brother was sent to the hospital. She came back as a ghost and she had a huge eye floating beside her with a chain on her ankle and she wanted to kill her brother...
Please someone help me <3