Sorry for late reply.
We've finally found a solution. It's working till date. The problem was the parameter controls are in tiled format. And those are embedded
onto a Tiled Box which is the sub header section of the Dashboard. Now in Tableau server was able to render it properly.
But in SP, I think the controls were not working and thy were treated as text Boxes.
And then we've just changed those pmtr controls to Tiled format to give individual spaces for them.
And it finally worked!
thanks for the update and glad you got it working!