[jlavine]

But Parliament did vote to pursue Brexit and trigger Article 50 following the referendum.

You're right that the referendum did not legally compel Parliament to this vote, but many MPs thought that it ethically compelled them to it, and for good reason: The entire premise of the referendum was that Parliament would act on the results. The referendum didn't just pop up like a random opinion poll; it was years in the making, came about as a result of political negotiations, and followed a high-profile months-long campaign.

Elections were just held following the Article 50 vote precisely to give voters a second chance to express their view on Brexit, and this resulted in maintenance of a pro-Brexit Tory government.

By "irregularities", you seem to imply corruption in the conduct of the referendum. Which exactly are you referring to? Your link provides no guidance.