what you are requesting is not making sense.
A BQY opened within Web Client is a self-contained collection of analytics.
Based on what you described you are wanting to launch a copy of itself - different section into a new instance of Web Client.
I think a bit of User Training would be a better solution
Your first sentence is pretty mangled. I know there are a lot of members here for whom English is not their primary language, so I'll assume that.
If it's something within the same document, you shouldn't be "launching" anything.
I see you are using the Qiq_onControlClick() method. Do you realize that method is not actually part of the system? Have you looked at it's source code to see what it is actually doing?
I would assume an object named txlMe is a textlabel, not a button. If this assumption is not correct, you may want to rename it to btnMe (or something else meaningful) to make your successor's life easier.
Unless the syntax for the Qiq_onControlClick() method call is unrelated to what it's actually doing (which is possible with this line of products) this.Parent would return the dashboard object. Your code shouldn't be opening a pivot at all, but the dashboard you're already looking at.
It will probably be easier for all involved to either train the users to use the sections list or to display everything as embedded objects in the dashboard. If you are using the web client, you can use hyperlinks to open a document in a new browser window. You can even pass parameters in the URL to tell the document what section to open, initialize query filters, etc.