Correct, the House does not initiate every bill that becomes law, the Senate does as well. Thank you for catching my error.
Now to get to your error. The CPB, Capitol Police Board is not in charge of security. Kind of like my lock on my door is not responsible for my security.
Learn about the responsibilities of the Capitol Police Board and its members.
www.uscp.gov
The Capitol Police Board oversees and supports the United States Capitol Police in its mission, and helps to advance coordination between the Department and the Sergeant at Arms of the House of Representatives and the Sergeant at Arms and Doorkeeper of the Senate, in their law enforcement capacities, and the Congress.