Thanks to my beta readers: Apoplexic, Captain Kirby, Draycott, Ember16, Modern_Erasmus, Ratsy, and Recursive.
According to the blog http://sumerianlanguage.tumblr.com/post/145273577158/sumerian-insults, Able's first insult roughly translates to idiot and literally means someone without a head in Sumerian.
According to Youswear.com, Pakhta means 'sad c**t' in Assyrian, and the rest of it basically means he wants donkeys to fornicate with her mother. I know Able's native tongue is Sumerian, but I had a hard time finding Sumerian swear words. Assyrian was the best I could do, and being a Mesopotamia language it's plausible he'd be fluent in it.
Happy April Fools and Easter Sunday to all!