I think electricity will be a problem, and it will be the major one.
Electricty:
A synchronized power grid requires a certain balance between supply and demand. It is unclear what the demand in the affected area would be, but I doubt, that the supply could keep up.
First, there is the hydroelectric power plants. The sources that feed their reservoirs would need to be teleported, too, otherwise the plants would become useless as soon as their reservoirs are depleted.
Second, wind energy is not reliable enough to serve as the sole producer to supply the base demand of the grid.
Both types of power stations cannot be used to satisfy peak demand, unless some of the hydroelectric plants are pumped storage plants, which in turn would make them unusable to cover base demand.
Nuclear power plants, if there are any, might work for quite some time. However, they rely on the availability of an external power feed in order to be operated safely, e.g. for emergency measures. Plus, with an unreliably peaking demand due to an unstable power grid and a lack of means to moderate these peaks, you're probably better off keeping nuclear reactors off the grid.
Then there is the issue with distribution. I assume that most, if not all, of the significant power stations of the area feed their output into a high-voltage transmission grid. According to this map, there seem to be some major nodes of the western transmission grid located in the area of northern Oregon. Still, it is quite likely that this grid will be disrupted and inoperational. Even if the teleported area still has enough power stations to meet the demand, their output will have no means of reaching the consumers.
There might still be areas with decentralized, small power grids, but their power stations would probably rely on rather unpredictable renewables, like wind and solar power or on fossil fuels, that might not be available indefinitely in the new environment.
Biomass plants could be a long term solution, but they require some sort of functioning agriculture/forestry and they are not feasible for large demands, e.g. 435
the city of Portland.
Water/Sewers:
Without power, these services won't work either. Water pumps, sewer pumps, water treatment facilities; all will shut down in wide areas eventually, even if they can be kept running for a limited amount of time using generators.
They could be hooked up to wind/solar power plants, if regionally available, but these are not suitable to run core infrastructure reliably, so there will likely be disruptions in service. That bears the potential of a sanitary crisis, especially in bigger cities.
Communications:
Radio communications, in the form of radio transceivers like walkie talkies, would probably suffer the least, as long as the devices still can be powered. There's not much physical infrastructure needed. A few aerials at most.
Internet and mobile phone services will most certainly be unavailable or nigh unusable. They might technically be brought back online, albeit in a very reduced state, i.e. with an "internet" providing next to none of the well known services and a mobile network not capable of routing calls to any number outside the teleportation zone and with most of the apps and mobile services being broken, because they'd try to communicate with service endpoints and resources that are no longer reachable.
Bringing those minimal forms of modern communication online would require resources and electrical power. Both of which will be in high demand to keep running what is left of the critical infrastructure. With supply lines for spare parts and raw materials severed, not to mention a potential lack of suitable production facilities in the teleported area, I highly doubt that internet and mobile phone services will be publicly available even in the long term. In my opinion, Instagram and Twitter will be the least of a concern in such a scenario.
Other things:
Given the large scale power outage I expect to take place in such a scenario, there's also impact on food supply, medical services and law and order to be expected.
I think a decentralized society like ours would rather quickly deteriorate under such circumstances, and make room for small, centralized and self-sustained communities. 87