Overview
The main comments are:
1. If possible, you should use state level minimum wage and labor force participation rate over time for all states to examine the impact of minimum wages on LFP, as per the point made by Ty in class.
2. If you cannot do item 1, you should examine the patterns of federal minimum wages versus state minimum wages at all states, and hopefully show some correlation between the two to justify your use of the federal minimum wage.
3. Study literature on minimum wages to expand your control variables.
I hope this helps. Sample paper attached