Largely good news I think....
The "bad" news is that the cruise is obviously selling reasonably well - there are no category 11 available. However every other category is available.
It's a safe bet that there will be availability come early September. Paid in full date is, I believe early September - and you can be certain some will drop out at that time as the reality of the costs comes into play. So cabins will be available.
In terms of the kids, things are a bit trickier - since the ship has limits at each age range. Given the time of year, it's a safe bet that there will be room for older kids and teens - but pre-school age may bump up against the limits.
My guess would be that by mid-October it's almost certain there will still be space on the ship. It is less certain that cat 11 or 12 will be available or that there will be space for pre-school kids.
On the other hand - if a lot of people drop out you may not only see space available - you may see discounting in the form of category 12 pricing. So it could actually work in your favor.