As the station's purpose was to develop stategies against the Hostiles, it makes sense that after the Purge, the Hostiles cleared the station of anything that could be used against them, should DHARMA ever return to the Island. This may explain why the station is almost empty in 2004.
The Arrow got its name from the fact that the Hostiles used arrows to attack intruders. The Arrow's name and logo are symbolic for DHARMA's countermeasure against the Hostiles.
The DHARMA logo on the wall of the Arrow was painted using a single piece wooden mold with the necessary cut-outs. This logo needed to have the color of the inner circle inverted and have the circle interrupted, as it was hard to paint the standard logo on the wall with this technique. It would have required unconnected character shapes, instead of simple character cut-outs to paint the name of the station in the logo, which would mean that the mold would consist of multiple pieces and be impractical. This means that the Arrow logo on Horace Goodspeed's jumpsuit is the standard Arrow logo, while the logo on the walls is a stand-in.
The Arrow station was the first station (or one of the first) to be build on the island. This is supported by the fact that it looks older than any other station. For example, it has a wooden door instead of a steel one and the walls are somewhat rudimentary.
Considering that the Arrow and the Swan were the only two stations with the Quarantine sign written on the inside of the entrances, it's possible that there is an unknown connection between the stations. The Swan and the Arrow may have been part of a post-Purge DHARMA project. Several new recruits, including Kelvin Inman, were sent to the Island to man both the Swan and the Arrow. The DHARMATel network was used for communication between the two stations. One day, the Arrow stopped communicating. This promped Radzinsky, who was also looking for a place to dump the edited footage, to venture to the station. When he discovered that the station was raided, most likely by the Hostiles, he dumped the film and went back to the Swan. Realizing that Kelvin and he were now the only DHARMA members left and that there was the possibility of an attack on the Swan, Radzinsky killed himself, knowing that the project had already failed.
Since Horace was building a cabin and worked at the Arrow, this could be the cabin he built and Locke's dream could have been a tiny bit off (or the Island could have some how changed the map. Jacob and Horace's cabins could be completely diffrent. Also, If Horace built the cabin in the 70's, where would Jacob be in 1954, which Richard ovbiously knew when Locke said,"Jacob sent me." Although, Jacob could've been in the Temple or Richard is a time-traveler, but I doubt that, but that could be why Widmore still didn't trust John... no still doubt it... Jeez, I sound like Faraday with all these crazy theories in 1 paragraph!