Read the BABOK, now what?

How do I go from my current job (Junior Analyst at a startup) to a BA? I spend my days cross referencing data sets, writing summaries/reports. But whenever I bring up suggestions on potential business improvements with actionable data, I am ignored. I feel it's time to jump ship.

Going forward, how do I make this transition and market my skills? I've spent my nights/weekends learning MySQL, Tableau and Javascript. Should I learn UML? Read the Agile extension? I feel the BABOK alone was too theoretical with not enough depth or examples of applications for the Techniques. Maybe it's because I lacked relevant experience to provide context for the text. What further resources should I consider? I studied Finance for what it's worth and would like to either work in it or IT/BI.

Thanks.