You are correct.
$F = \left( \text{mass} \right) \cdot \left( \text{acceleration} \right)$,
therefore, $\text{weight} = \left( \text{mass} \right) \cdot \left(
\text{acceleration} \right)$ due to gravity
Weight of a $10 \text{ lb}_m$ object = $\left( 10 \text{ lb}_m \right) \cdot
\left( 32.2 \frac{\text{ft}}{\text{s}^2} \right)$ (approximate acceleration
due to gravity on Earth)
Weight of a $10 \text{ lb}_m$ object = $322 \frac{\text{lb}_m \cdot
\text{ft}}{\text{s}^2}$.
Since $1 \text{ lb}_{\text{f}}$ = $32.2 \frac{\text{lb}_m \cdot
\text{ft}}{\text{s}^2}$, you are correct that its weight is $10 \text{
lb}_{\text{f}}$
${Work} = \left( \text{force} \right) \cdot \left( \text{distance}
\right) = \left( 10 \text{ lb}_{\text{f}} \right) \cdot \left( 2 \text{ feet}
\right) = 20 \text{ ft} \cdot \text{lb}_f$