I'm actually happy you asked that question, because we've actually communicated with the Board of Internal Economy and have never had a response on those issues.
The pivotal section in the code is section 6, and it simply says:
Nothing in this Code affects the jurisdiction of the Board of Internal Economy of the House of Commons to determine the propriety of the use of any funds, goods, services or premises made available to Members for carrying out their parliamentary duties and functions.
So it's kind of saying “hands off” if the Board of Internal Economy has jurisdiction over the use of resources in the House. But, you know, we have no specific information from the Board of Internal Economy as to where they thinks their jurisdiction ends.