Test each claim against basic soil physics. Texture is a particle-size classification, it tells you what fraction of the soil's mass is sand, what fraction is silt, and what fraction is clay. That is exactly what Statement (I) says, so it stands.
Now think about pore space. Clay particles are extremely small and flat, so they pack closely with mostly tiny micropores between them. Micropores hold water tightly but choke off free air movement, while sandy soils with large particles have big macropores that let air move freely. That means fine (clay-rich) soils will always aerate worse than coarse soils, ranging from medium to poor, which is exactly what Statement (II) claims.
Both checks pass, so both statements are true.
\[\boxed{\text{Both Statement (I) and Statement (II) are correct}}\]