Everything needs to be battery powered.
Then I power on with a switch, an LCD should show the temperature and the fan starts, and a red led is lit.
When temperature is below certain degrees the fan should stop, the led should be green and a buzzer should sound.
What components do I need for this and what battery? I would prefer a rechargable powerbank if possible but I don’t know what specifications I need.
You need any Arduino board for development. For the final build a Pro Mini or ATtiny should do, any standard LCD display, and a sufficiently strong battery.
@mongol
I have deleted your new topic on the same subject and given you a break from the forum. Please familiarise yourself with the forum rules, which @TomGeorge linked to for you.