To cause Level 2+ Drama, you must first unlock ‘How to Start Drama’ under the Drama Llama skill tree in SC Academy! To unlock the Drama Llama skill tree, work your way down the City Slicker skill tree until you reach the requirements for [Unlock Drama Llama Research Tree].
The more you upgrade “How to Start Drama” in the Drama Llama skill tree, the higher levels of Drama you can do. Each research node specifies its prerequisites in the description.