An airplane's airspeed vector plus the wind's velocity vector gives the plane's groundspeed vector. To add vectors, break them down into parts that line up with the coordinate system, add the horizontal components and the vertical components, then convert back to a speed and direction.
For the first question, use variables for the wind's speed and direction and set up equations with the components of the plane's airspeed plus the components of the wind speed equal to the components of the ground speed, then solve for the wind speed.
The second question is the same, but easier since you're just adding the airspeed to the windspeed (adding as vectors, not just adding the magnitudes).
I'm not sure how much detail your teacher wants for the diagram, but either draw both vectors in standard position (tail at the origin) and use the parallelogram method to draw the resultant, or draw one vector in standard position with the other vector's tail at the first vector's head, and draw the resultant from the tail of the first to the head of the last.
If this isn't enough information or I worded something confusingly then let me know and I can go through the formulas.