I would leave out everything after 'landlord', and change agreement to arrangement.
Why tell the court, and TEC who are officers of the court, that the V5C was not updated for over 1 month when despite the moves there was a convenient address which could have been used pro tem i.e. your parents'.
This isn't a matter of 'law' as such, but as I understand it, here it is anyway:
(3) Paragraph (4) [accepting a Stat Dec] applies where it appears to a district judge[TEC], on the application of a person on whom a charge certificate has been served, that it would be unreasonable in the circumstances of his case to insist on him serving his statutory declaration within the period of 21 days allowed for by paragraph (1).[AKA Out of time]
(4) Where this paragraph applies, the district judge may allow such longer period for service of the statutory declaration as he considers appropriate.
What's 'unreasonable in the circumstances'? That the RK didn't take action to amend their DVLA record within a month!
I would wait for other views. This is one of the benefits of paying: there's no specific time imperative.
putting a set of facts to the court such that