Everything in this petition is based on what I've seen in the media if this is true she should be fired. See links below

Right-wing Labour Chancellor Rachel Reeves is facing calls for her resignation over reports that she faked her job history during the her 2010 campaign to become Leeds West MP.

Reeves told voters in the Yorkshire constituency that she had worked “as an economist … at Halifax Bank of Scotland” when in fact she worked in a mid-ranking position in an admin and IT support department at the bank. The claim promoted even centrist journalist Michael Crick to comment that she needs to resign or be sacked as Chancellor:

https://www.express.co.uk/news/politics/1979545/rachel-reeves-cv-row-shows​

https://conservativepost.co.uk/rachel-reeves-must-resign-caught-red-handed-in-a-cv-scandal-that-betrays-the-british-public/