Hello, Elle!
Your daughter sounds sensible, I am sure she shall text to let you know of their safe arrival.
Yes, all out in the buggy.
Girls are impressed!
I think my parses are OK, now.
For 13a, I am now presuming that "disk" is the letter "o".
If so, all's well.
My main perturbance now is, 4d.
I have "swine" for the answer with "ne" for Newcastle area, the North East.
So, that leaves a parse for Victoria being "swi".
I was thinking OZ for a while, but I know there is a Victoria Station in London. Is there a district in SW1 called Victoria, d'you know, or am I back at the drawing board?
The clue has "areas", plural, so is that SW1 + NE?