Excuse me but if you watched the House impeachment lynching, and understood what you were watching, you couldn't possibly come to the conclusions you do. The Senate can further investigate if they so desire.
The Outhouse cannot dictate to the Senate what they must do although your evil high priestess believes they can.
The Senate's task is the impeachment trial. The House's task was impeachment. The Senate can only prosecute relative to the impeachment...nothing more and nothing less...