In Haiti internet access is a luxury. In greater Port-au-Prince I saw many (slow) internet cafes. Some are still standing and functioning, others are ad hoc.

Internet cafe at a tent city in Petionville.

hardstructure cybercafe near the port
At least one ISP is going via microwave to DR then off the island. The national wired telco was heavily damaged. Digicell, the largest wireless carrier in the country is still up, their servers are in the basement of their building and are running off of generators 24/7 (this was already nearly true prior to the earthquake because the grid electricity, Ed’H (electricy d’Haiti), wasn’t reliable).

Digicel building approximately 5 minutes after the earthquake. Photo taken by unknown security guard in nearby building, photo courtesy of F. Magloire.
The remaining wired infrastructure is delicate. In many cases, fallen buildings and snapped poles (unlike in USA, most poles are concrete) are being precariously supported by the cables themselves. Comparing photos from one month ago to the beginning of my visit to photos at the end, after the rains began, more of this will be pulled down as the rubble slides and the water undermines rubble piles.

fallen buildings rest on cables. Photo by B. Triliegi

partially fallen poles, their weight hanging on the wires

this pole is fine but many of the wires snapped and are lying loosely
The wires are hot. Maybe. Sometimes. But it seems enough to light up much of the city at night. Some of the light I can see at night are self-contained – batteries, propane/kerosene, or generator. But I saw plenty of wired street lights on too, and in visiting with some of the larger hospitals we found that their Ed’H was still “on”, if yet more reduced in hours than pre-earthquake.

it's a little difficult to tell by the foreshortening in the pic, but this pole's weight is borne by the cables on top which are stretched completely taut. The rubble pile at the base is both contributing to the stability of the pole now, but as the pile continues to spill out it will put more weight on the pole.

ask any electrician - dangling HV wires aren't a bit scary, not at all... Note the contrast between the building that fell and the green building which did not.

a proper Cumberland off of this pole -- small gauge wires leading to shacks in Cite Soleil
Suffice it to say, the wired infrastructure has a lot of work ahead. In the case of electricity delivery, this is the only way to go. Most wealthier homes have generators but don’t seem to have battery banks or automatic switchovers and the cost of diesel (which must be shipped into the island country) is prohibitive to run the generators 24/7.
Bringing the best (not necessarily newest) technology to bear is important. The scale of rebuilding is so massive and complex systems so fragile that you really need to take the concept of “distributed” as far as you can go. Below, instead of wired Ed’H for power, these solar powered street lamps are still standing and working.

self-contained solar powered street lamps
Comms, including internet, phone, and TV, are the most obviously ripe for replacement with the best wireless hardware. Skipping over the historical development timeline by not rebuilding a cabled or wired telephony infrastructure and laying down a solid, redundant, reliable wireless system to restore services to better than they were pre-earthquake, then possibly later bolstering with a nationwide fiber backbone concurrent with the large-scale physical demolition and reconstruction.

The cell tower is standing while all the other lines in the picture have snapped. The UHF/VHF antennas appear fine, too.

a distributed system of uplinks and point to point RF nodes could restore comms quickly. (Those of you who can identify the dish - keep quiet, I'm trying to make a point here, and I don't care that it's DISH TV.)