actually the Atlantic hurricane season "officially" starts June 1
https://www.noaa.gov/news-release/2023-atlantic-hurricane-season-outlook

No, nobody wants to see the season open at Miami, what nonsense

I could move the latter end of the calendar this way:
Qatar 13 October
USA 27 October
Mexico 3 November
Brazil 17 November
Las Vegas 30 November*
Abu Dhabi 15 December

Miami could take place earlier in the day if held in June, say 10am local time (3pm UK/4pm most of Europe) to offset the heat

Wrong again. The Atlantic Hurricane season doesn’t start until July, hits it’s peak in September (when most hurricanes impact North America) and ends in November. There are hardly any hurricanes in July and November anyway. Having said that June is an awful time of year for the Miami GP- you might as well consider hosting one of the Gulf races in summer too. Miami in June is way too hot, humid and rainy- the climate difference between Montreal and Miami is dramatically different. The only other North American race you could pair with Montreal is Mexico City, as although it’s the rainy season in summer in most places in Mexico and it’s a bit more humid the temperatures are certainly manageable- Bernie used to pair the Canadian and Mexican GP’s back in the Senna-Prost days.

I want Imola the last Sunday of April. In different years it's been on that date.
Netherlands needs to be in May to coincide with one of their national holidays and also not to dilute with Belgium
Spain needs to be two weeks before Monaco to not dilute the two. Plus Spain has always been on the second Sunday in May, with Monaco 2wk later

@lejimster82 I've been following Super Formula since 2020 & yes, they regularly race in both Fuji & Suzuka in April for the first two annual events.
This year's three April races (the Fuji season opener features two on the same weekend & so does Suzuka's season finale) were indeed great.
The part about Super Formula being in F1's support bill is also a viable & something that could indeed happen from what I read once, although this would effectively force Fuji & Suzuka to swap weekends or some other minor changes on the Super Formula race calendar, not that those would be undoable.

Yes, better in the sense that overall precipitation is lower, although cooler on average than earlier autumn phases, but a decent time of year for holding the Japanese GP anyway.
Your race calendar isn't bad overall either, especially with Miami GP opening, given February is an even better month for racing there than May or April, not that the latter two are bad per se & zero triple-headers.
However, unfortunately or not, Singapore GP won't move, Chinese GP can't get paired because of China's challenging custom logistics (also noted in Joe Saward's Green Notebook, although I already knew before), & Azerbaijan-Spain double would cause logistical inconvenience with the former being a freight event & the latter a truck one.
I'm also skeptical about Vegas in May.

The Atlantic hurricane season makes June unideal for holding the Miami GP, while logistical inconveniences make forming a double-header (or triple) featuring a truck event, i.e., European & freight one (flyaway) impractical, which is why a Hungarian-Azerbaijan GP double is a non-option despite their distance.
Otherwise, overall a decent okay race calendar except for three triple-headers & the first one of these featuring an illogical order for the second & third legs.

The MotoGP races back in the day when it was at Suzuka were in April.

Bahrain 3 March
Saudi Arabia 9 March*
Australia 24 March
Japan 7 April
China 14 April
Imola 28 April
Netherlands 5 May
Spain 12 May
Monaco 26 May
Canada 9 June
Miami 16 June
Austria 30 June
Britain 7 July
Hungary 21 July
Azerbaijan 28 July
Belgium 1 September
Italy 8 September
Singapore 22 September
Japan 29 September
Qatar 6 October
USA 20 October
Mexico 27 October
Brazil 3 November
Las Vegas 16 November*
Abu Dhabi 24 November

Also, if they knew what was good for them, they would schedule the races like this:

1. Miami (25 February)
2. Saudi (10 March)
3. Australia (24 March)
4. Singapore (31 March)
5. Bahrain (14 April)
6. China (21 April)
7. Japan (28 April)
8. Vegas (12 May)
9. Monaco (26 May)
10. Imola (9 June)
11. Canada (23 June)
12. Austria (7 July)
13. Britain (14 July)
14. Hungary (28 July)
15. Holland (4 August)
16. Belgium (1 September)
17. Italy (8 September)
18. Azerbaijan (22 September)
19. Spain (29 September)
20. Brazil (13 October)
21. USA (27 October)
22. Mexico (3 November)
23. Qatar (17 November)
24. Abu Dhabi (24 November)

I've been following Super Formula this year and they had 2 races in April at Fuji and Suzuka and they were great. I think it would be fine personally as long as we get a Japanese GP. I also believe Super Formula would like to host a race at the same weekend and venue as F1 to get more exposure so this might be another reason for the proposed April slot.

https://t.ly/9Wx5

With the long-ish post, I forgot to add that April is decently warm as a whole, so not the worst month for racing in Japan, not to mention, the domestic Super Formula & GT series already do so.

I wish Japan would be paired with Australia, though, not only so that the Australian GP wouldn't again be a standalone event & also to give more flexibility to entirely avoid triple-headers that don't really have a place anymore & are avoidable even with 24 GPs+standard length summer break.
For example:
Bahrain GP 2.3
Saudi Arabian GP 9.3
Australian GP 24.3
Japanese GP 31.3
Chinese GP 14.4
Miami GP 28.4
Spanish GP/Emilia-Romagna GP 12.5
Monaco GP 26.5
Emilia-Romagna GP/Spanish GP 2.6
Canadian GP 16.6
Austrian GP/Belgian GP 30.6
British GP 7.7
Hungarian GP/Austrian GP 21.7
Belgian GP/Hungarian GP 28.7
Dutch GP 25.8
Italian GP 1.9
Singapore GP/Azerbaijan GP 15.9
Azerbaijan GP/Singapore GP 22.9
Qatar GP 6.10
US GP 20.10
Mexico City GP 27.10
Sao Paulo GP 10.11
LV GP 16.11
Abu Dhabi GP 1.12
Admittedly, the Sao Paulo GP-LV GP interval would be less than 7 in this race calendar formation.
However, I haven't really thought about that as a huge issue despite the thing with the early Middle East double.
Additionally, while pairing Japan with Australia would be better, holding the Japanese GP & FE's Japan round on the same weekend would understandably be unideal.