Answer:
1. The speed of the wave is affected by wavelength frequency because waves travel through a medium and sound, ocean waves and seismic waves, etc. are the physical properties of the medium that determines the speed of the mechanical waves.
2. I think the frequency of the wave doesn't have any effect on the wave speed. Only the characteristics of the medium the wave is traveling through determines its speed.
3. As a wave moves from a medium of low density to a higher density the wave speed increases and when a wave moves from a higher density to a medium density the wave speed decreases because the wave length shortens causing the wave speed to lower.
4.If the instrument is initially flat they should tighten it because once it is tightened there is going to be force applied to the gears, and after you've reached the correct pitch the gears won't be able to move. So ultimately, you will be able to meet the intended pitch you were going for.