It's probably too late to reply to this but I'll give my 2 cents.
You don't have to bring you own condom but you can bring your own if you don't like the one in the shop.
If it's 1 hour then it's expected to have 2 shots. Whether you can squeeze a 3rd one depends on the WL and yourself.
Also I haven't heard of those shops are good. Best to stick to Ginza and N5M Marickville, probably go to N5M since it's the closest to your location