Short answers, pulled from the story.
Dragon Half follows Mink, a fifteen-year-old girl born to a human father and a female imperial red dragon, who goes on a quest to obtain a potion that will make her fully human so she can win the love of Dick Saucer, a dragon slayer. To get the potion she must defeat the Demon Lord Azetodeth and reassemble the Gourd of the Saints, an artifact her dragon great-grandfather spent 200 years making.
Dragon Half was written and illustrated by Ryūsuke Mita. It ran in Fujimi Shobo's Dragon Magazine from the 30th of January 1988 to the 30th of April 1994, spanning 65 chapters collected into seven tankōbon volumes.
The Dragon Half OVA was animated by Production I.G and released in 1993. The first episode came out on the 26th of March 1993 and the second on the 28th of May 1993. Only two of the originally planned four episodes were produced due to insufficient interest.
The Dragon Half manga has been licensed in North America by Seven Seas Entertainment. The anime OVAs were originally licensed by ADV Films, and Discotek Media later re-licensed them for a DVD release in 2014.
The Dragon Half OVA ending theme is called My Omelette, set to the music of Beethoven's Symphony No. 7, 4th movement. It was performed by voice actress Kotono Mitsuishi while in character.
No. After defeating Azetodeth and obtaining the potion, Mink chooses not to drink it. She gives the potion instead to her friend Lufa, who had been turned into a toad by the Demon Lord's magic, and remains half-human and half-imperial red dragon permanently.