Regarding the issue of schools, probably either they reopen around August, or not until at least midway next year (or they reopen August and then reclose).
Now it’s looking increasingly like the government pretty much has one shot of getting us out (i.e eradication) and if they screw up (or it turns out to be out of their control) and the reopening of society causes resurgence, this is going to be here until a vaccine comes.
Suppression and control is not an option that is compatible with significantly easing restrictions (significantly meaning e.g reopen restaurants, not just repealing stage 3 restrictions) or reopening school, no matter how careful. While many thought this was before, the situation has changed substantially in the past two weeks and Japan and Singapore are having a second wave, Singapore still in its exponential phase, in spite of their restrictions being similar to what would be considered under a “eased” regime (now their restrictions are stricter of course). Singapore also has the phone tracking system that is widely acclaimed. China are locking down different provinces, but the extent of the second wave,if existing, is unknown. The unfortunate truth is that people become complacent when there are less cases (as is recently). This will result in a second wave unless we enforce closures of “principle places of social gathering”. Allowing cinemas to open is asking for social interaction (even if you implement, say, 1.5 m social distance, that is very difficult to enforce). Personally, I cannot imagine a group of teenagers visiting the cinemas and maintaining 1.5 m from each other. And if someone sees “oh there’s only 50 cases today, it won’t matter”, then the problem will balloon out of control again. The problem is the same with other places - the only way to enforce social distancing is to stop the gathering.
Now, about eradication, which is a legitimate path that has opened up now. In my opinion, eradication is our only and best chance out before our vaccines. If we shut down everything (except health care, of course) for 2 months, ban on exercise, enforced food deliveries and banning on site supermarket visits unless emergency, etc. It is also worth noting that New Zealand has 20 or so odd cases recently each day, with their lockdown strategy but if this is lifted in a week’s time as scheduled, there is little chance that eradication is successful. But they also haven’t done everything, such as stay at home orders, which would reduce residual contact.
Something interesting that I notice is that the daily cases tend to be exponential when there are not enough restrictions and social distancing, and approximately linear when there are, as the linear portion represents the people that continually flout the rules. This is crux of our problem, as 1) it means the virus is survives through periods of restriction, and 2) the “acceptable” linear growth quickly turns into exponential growth as the general population increases contact (above r of 1). Considering the new estimation of r being 5-6, this is quite difficult without the current restrictions. (Note: the current restrictions easily reduce the number of people you contact 6 fold). This is why if we implement eradication approach, and we are required to stay at home (except health care), then the rule flouters stand out even more (currently they can pull one of a number of excuses convincingly, such as they are exercising when they are really going to a party (no way to check), or they are driving to a supermarket when they are really going to their friends house (if they remember which supermarkets they pass on their drive)), and can be fined or jailed as necessary. And then the curve might drop to zero.