I wouldn't worry at this stage. IF they are swimming relatively "normally," they will be fine. And while the photos are still pictures and not video, from their positioning I would say they are "normal." Cardinals are highly sensitive to water parameters, water quality, and being netted and changing environments. They very frequently are close to death when we get them (from the exporter to the store I mean), so what I see here is very encouraging. Many of us don't really understand the trauma a fish endures from collection to arriving in our tanks; it is truly amazing that any of them even make it alive. Which I guess only shows the resilience nature sometimes has. The red will brighten up.
[Edit: While I was typing, the suggestion was made they are neons, I can absolutely say they are not, they are cardinals. What I wrote below will help to explain.]
And speaking of that, it appears you have the Brazilian form of this fish. The species Paracheirodon axelrodi (cardinal tetra, sometimes called red neon in Europe) has a fairly wide distribution in South America. It is widespread in the Rio Negro basin to the north of the main Amazon River, which itself is a huge area, the third largest basin in Amazonia, covering an area larger than the size of France. It is the world's largest blackwater river. The other geographic home of this species is in the Upper Rio Orinoco basin in Colombia. There is a high mountain range separating these two basins, and it is believed the species was thus separated into two geographic locales when these mountains rose millions of years ago.
The Brazilian (southern) form is my favourite, being the most colourful. The red extends further under the belly than on the Colombian form, so there is more red and less white on the ventral surface. The blue "neon" lateral line on the Brazilian form extends to a point under the adipose fin, but ends anterior to this fin on the Colombian. The line is thus more straight and longer in appearance on the Brazilian form, giving the fish a longer and more slender profile than its chunkier Colombian form. From the photos, I believe you have the Brazilian form, and I would surmise these were direct imports from Brazil, likely from Manaus. [The Colombian form is more common as they are easier and less expensive to collect.] A few decades ago, 20 million cardinals were being exported from Manaus every year, about 80% of the total tropical fish exports from that city; even so, collectors noted that there were just as many cardinals in the habitat year after year, and to this day the fish is still widespread.
The great characin authority Dr. Jacques Gery suggested that the two variants might be distinct species, subspecies or simply geographic variants. Subsequent and more recent DNA cladistic analysis has shown they are the same single species with geographical external variants as I've described above.
To finish this off, there are four known species (only three of which are described, I'll come back to this) being P. axelrodi (cardinal), P. innesi (neon tetra) and P. simulans (false or green neon tetra). The cardinal is most closely related to P. simulans, differing by three chromosomes in their DNA, whereas the neon differs by ten (if memory serves me). It is not surprising that the Brazilian form of the cardinal is closer in appearance to the P. simulans. The fourth species was discovered by Heiko Bleher in 2006 in an extremely remote area; Heiko brought back a couple of specimens and DNA analysis has shown they are closest to the neon tetra, and their external colouration is closest to this fish. All of these four species, and no others yet discovered, have the characteristic iridescent blue/green line that contains pigment cells known as iridophores (or sometimes guanophores); these reflect light using plates of crystalline chemochromes made from guanine. In light, these generate iridescent colours due to the diffraction of light within the stacked plates. A truly beautiful genus of fish.
Byron.