Engine lights came on, rattling sometimes occurs during start up

I bought a Prius III just last Sunday. It was perfect so far. Until I heard rattling and weird sound coming out when starting up the engine. Immediately turning it off once it runs and turning it on again will not make the rattling come. It will happen again after a certain period of time (often overnight). Live in a city where the coldest it gets on midnight is around 7 *C.

Then two days later engine light are on. Checked the gas cap, it was properly plugged. Checked the engine air filter, it was still clean enough to be used.

Plugged in OBDII and I got P0300, P0301, and P0302. I cannot pinpoint which exact problem is the cause.