Insubordination. Article 91.
Conduct unbecoming. Article 133 pertains to officers and cadets, and Article 134 - while still a General Article - covers enlisted personnel in this regard.
You wouldn't be discharged under Article 10. Article 10 of the UCMJ is the article which covers restraint of personnel charged with offences - Article 10 is why you'd be held in confinement, not why you'd be discharged.
Article 134
Article 134
Article 92
Article 86
Article 92
That is covered in Army Pamplet 600-35 - RELATIONSHIPS BETWEEN SOLDIERS OF DIFFERENT RANKS
What article of the UCMJ covers fraternization
Article 134
Article 134