Compost after 2 weeks — turn it now or leave it?

Hello,

I just built these compost piles 2 weeks ago (photos attached) and I’d like a quick opinion.

How I built them:
dry grass
green waste
wood chips
neem & castor cake
(repeated in layers, about 40 cm total)

It heated up well at the start, but now the temperature is clearly dropping.

My question:

Should I turn it now, or just leave it to finish?

Bonus questions (quick answers welcome):

Is this layering method good or should I mix everything from the start?
How do you store finished compost properly (sun, rain, cover)?

Trying to improve my system before scaling, so any practical advice is appreciated.

Thanks