Hadi yürü, yaylan ---> Come on, Off you go, get moving !

Let’s move

Your is correct too..

malul olmak --->  the word "malul" arabic origin word and it means " disabled" but in modern turkish it is also used as "known "

His English was known with[as]  ---> İngilizcesi ............................bilinirdi

Ingilizcesi .........................bilinirdi..

 Ne de olsa --> For this phrase, its better to use " Nevertheless "

Nevertheless, drunkards had the right to make up all  types [sorts] of nonsense that they would have forgotten every one [each of them] in the morning .

Thank you, tunci. I knew I could count on you.

Sorun değil, Abla.

Maybe you confuse malul olmak with malum olmak? 

Malul originally [the correct usage is "disabled" ] but some people using it incorrectly as "known" .

I know what " malum " means , malum =  known [correct translation from arabic whereas malul is incorrect usage that is still being used by some people ]

examples for correct and incorrect usage of malul =

malulen emekli olmak = being retired because of disability. [getting retired early because of disability ]

hafıza-i beşer nisyan ile maluldur ---> people understand this saying as " the human memory is known as forgetful " ---> this is wrong but people knows it this way. that should be ;

" the human memory is disabled with forgetting [things] " [ in other words, the human memory is not perfect, its disables most of the times , it forget things easly]

Abed dişlerinin arasından nefesini içine çekti, gergin durumlarda adeti olduğu üzre çenesindeki  gamzeyi kaşıdı ve gamzeyi kaşımak yetmediğinde daima yaptığı üzre kıvırcık saçlarından bir tutam alıp çekiştirdi. Başını tuvalete doğru çevirdi ama bir kez daha, yerleştirildiği raftan sabit nazarlarla onları seyreden o delici, kızıl gözlere takıldı bakışları istemeye istemeye. Vaktiyle maviliklerde  süzülmüş hayat dolu bir saksağandan ziyade tüyler ürpertici bir oyuncağın donmuş, ruhsuz vakarıyla bakıyordu ölü kuş. İnsanların nasıl olup da içi doldurulmuş kuşları sergilemekten gurur  duyabildiğine akıl sır erdirememenin huzursuzluğuyla yeniden arkadaşına döndü Abed. Döndü ve bu sefer de dolmakalemiyle aynı peçetenin üzerine lekeler kondururken buldu onu.

Abed pulled his breath in through his teeth, scratched the dimple that he had in his claw which was his habit in tense situations, and like he always did when scratching the dimple wasn’t enough took a small amount of his curly hair and kept tugging it. He turned his head to the direction of the toilet but once more was attached to those piercing, red eyes which were staring at them from the organized shelf, as if he couldn’t stop longing for their looks all the time. The dead bird was watching with a toy’s frozen, lifeless dignity, whose abundant feather was made stand upright, the feather that once had belonged to a magpie which was full of life flowing in the blueness. Abed turned again to his friend feeling uneasiness of mind because he couldn’t achieve the mystery of how on earth people could feel pride of putting stuffed birds on display. He turned and found him this time sticking spots on the same napkin with a pen.

Very good translation!

çene is a chin, not a paw (pençe or pati) so this is the dimple in his chin

 suggest "from the shelf they had been put on"