Maybe some old Indo-European root. One of the Latin words for "pig" was "sus" (the hog family including boars and warthogs is called Suidae), and in all the Germanic languages, the word is pretty similar: "Schwein" in German, "svine" in Norwegian, "swine" can also be said in English...
All Norwegian nouns have a grammatical gender, and are declined accordingly.
en = indefinite article for masculine nouns.
ei = indefinite article for feminine* nouns.
et = indefinite article for neuter nouns.
*feminine nouns may be declined as if they were masculine, so they can take "en" in place of "ei".
Endings are also gender dependent.
The gender a noun is assigned is quite arbitrary, and will have to be memorised with each noun. It does not match up with biological gender, and the only rules that exists are for certain categories of loanwords.
"Er" is a verb, and translates to "is/am/are".