The answer is yes
yes
no, the recorder has 5 notes and the trumpet has only three.
Yes. Both the tenor and alto saxophones read primarily from the treble clef.
Yes, yes it does
yes
Yes!
Yes, trumpet fish do have scales.
Yes, the trumpet is a B instrument.
The same note name, yes. They could possibly be different pitches.
Yes, the trumpet is a non-transposing instrument.
yes
Yes. In general, any trumpet mouthpiece can be used on any trumpet.