"About" 5 years of training and you're running a school? How is that even possible? I mean, KKW TKD schools are often known for ridiculously rapid promotion without any real understanding of basic material (let alone advanced...). But if we assume you got your 1st Dan in a year, it'd be another year to 2nd, 2 more to 3rd, 3 more to 4th. That's 7 years, and 4th Dan is considered the minimum teaching rank by the KKW. So with "about" 5 years of training, you're violating the already extremely minimal standards of the KKW as regards either time in grade or rank required for teaching.
For reference, in our Moo Duk Kwan system, you'd likely be around 4th geup.