Your repos are also broken with multilib not being enabled.
I noticed you also mentioned earlier ‘re-enabling’ the cachy mirrors.
Once again .. did you recently ‘manage’ some pacnews (in this case /etc/pacman.conf.pacnew)?
How was that accomplished?
Do you use some sort of script or utility that does any of this for you?
PS.
For the language case please enable a language in /etc/locale.gen either by removing the preceding # or by copying the line to the bottom and doing the same. For example on mine the bottom is;
[...]
# Locales enabled by Calamares
en_US.UTF-8 UTF-8
Then running;
sudo locale-gen
bash -c 'unset LANG'
bash -c 'source /etc/profile.d/locale.sh'
You could then check something like locale again.
For the repos you would need to revisit /etc/pacman.conf and similarly remove # in front of the lines for [multilib] repo.
Then the various lib32 package will be available again and pacman -Syu should work more normally.