Mike - it´s always interesting to see what´s crawling around on the other side of the planet.

So thanks for sharing your sights.
You are right about the beetle larva.
The other insect isn´t a mayfly (Ephemeroptera).
It could be an imago of the order Trichoptera which I think are called caddis flies in English. These are more closely related to the Lepidoptera (butterflies and moths), and on first glance can be confused with a moth.
Moths have scales on the wings/body and different mouthparts, but these features can´t be judged from your picture above. However, it´s the forward position of the antennae that make me tend more towards Trichoptera because moths generally fold their antennae back when they are resting.
On the other hand the webs on the plant that can be seen on your photo look like being spun by moth larvae.
Maybe someone like Rik who is more adept in your local Lepidoptera knows more. Let´s wait ´n see.
Cheers,
Betty