I had the same issue/questions like you did.
The Homey Tado app only supports thermostatic controls. See readme:
https://apps.athom.com/app/com.tado
This way the Tado Smart AC is in charge of the fan speed, heating/cooling etc.
Hence why these settings aren’t available on the Homey app.
Changing your Smart AC to thermostatic will also solve your second issue.
I’m also not happy the way it works right now but this is the situation we’re in right now.
