Five. (15 points) As shown in Figure 4, rectangle $ABCD$ is a cargo yard with a length of $1000 \, \text{m}$ and a width of $600 \, \text{m}$. $A$ and $D$ are entrances. It is planned to build a toll booth $P$ within the cargo yard and a loading platform $H$ on the railway segment $BC$. Let the total length of the roads $AP$, $DP$, and $PH$ be $l$.
(1) Find the minimum value of $l$;
(2) Indicate the geometric positions of the toll booth $P$ and the loading platform $H$ when $l$ is at its minimum value.
(1) As shown in Figure 9, the rectangle $ABCD$ is rotated $60^{\circ}$ clockwise around point $A$ to the position of rectangle $AB_{1}C_{1}D_{1}$. Thus, point $P$ inside the rectangle and point $H$ on side $BC$ are rotated to points $P_{1}$ and $H_{1}$, respectively, such that
$$
A P = A P_{1} = P P_{1}, \quad P_{1} H_{1} = P H.
$$

Then, $l = P D + P A + P H = D P + P P_{1} + P_{1} H_{1}$.
Since $B_{1}C_{1}$ is a fixed line, the minimum value of $l$ is the distance from point $D$ to the fixed line $B_{1}C_{1}$, which is $DM$.
After calculation, we have
$$
D M = 1000 \times \frac{\sqrt{3}}{2} + 600 = 600 + 500 \sqrt{3} \, (\text{m}).
$$
(2) When the total length of the road $l$ is minimized, point $H_{1}$ coincides with $M$, and points $D$, $P$, $P_{1}$, and $H_{1}$ are collinear. At this time,
$$
\angle A P D = 120^{\circ}.
$$

Since $\angle D A D_{1} = 60^{\circ}$, we have
$$
\angle A D M = 30^{\circ}.
$$

Thus, $\angle D A P = 180^{\circ} - 120^{\circ} - 30^{\circ} = 30^{\circ}$.
Therefore, the geometric position of the toll station $P$ is at the vertex of an isosceles triangle with base $AD$ and two base angles of $30^{\circ}$. The geometric position of the shipping station $H$ is at the midpoint of side $BC$.