I'm starting my LONE4 at the beginning of September, and had some thoughts about the availability of L-class seats on my journey. My itinerary is as follows:
LHR-NRT-HKG-BKK//SIN-DRW//MEL-CNS-SYD-CHC//AKL-SYD-HNL-SFO-LAX-ORD-YOW//YYZ-BOS-JFK-LHR.
The first 2 flights are dated, the rest left open.

I was looking through the schedules the other day at the number of flights per day and got a little worried about the SYD-HNL, only flying 3 times a week. I plan to make this flight the beginning to mid July. Will I have a problem making a reservation with L availability if I leave it until only a few weeks before I've decided on a date to fly? I'm also curious as to whether any of the other flights I have are busy routes where I am likely to run into problems if I leave it too late. Maybe I'm just worrying over nothing though.

Thanks for any advice you can give.