not directly related to this but a little advice, which I use when I am not sure when using a phrase in English: type the thing you wrote in google and check if it exits

but pay attention that sometimes you can also find results without turkish charachters:

i.e. the correct form is "tanýþtýðýmýzda" but you can also find some results as "tanistigimizda", however you wouldn´t find "taniþtiðmizde"

verb is "tanýþmak"

so,

when we met: tanýþtýðýmýzda

or tanýþtýðýmýz zaman

kedinin ismi mi?

you are right

We are arguing (or discussing) with Oðuz, (let us) 5 min, then we continue chatting.

"makara" here means a funny conversation, usually gossiping and talking about unnecessary things

usage of only first singular and plural are common, others are, as also said, not used in daily language any more and used only in poetry.

for 2nd person, e.g."kalasýn", we can say it is used as a wish but usually a bad one, i.e. cursing

e.g. a song:

ela gözlü, benli dilber, sen de olasýn benim gibi

beautiful woman with the hazel eyes and moles, i wish you also become like me

Are there Muslims living here? => Burada yaþayan Müslümanlar var mý?

actually here it means "would" (sorry to make it more complicated but it also can be used for would" )

Ýnanýrým = I would believe

Alýþýrým = I would get used to

Hayatýmýn zorlaþtýðýný düþünüyorum. uzun hikaye... Belki gizlice evlenirim. Eminim bu olay ilginç haberler yaratýr/haberlere yol açar...

(the first sentence you say means "I think this makes my life difficult", and also although you used future tense in last 2 sentences, we would rather use simple present in this context, but it is also possible to say "Belki de gizlice evleneceðim. Eminim bu olay ilginç haberler yaratacaktýr. (or haberlere yol açacaktýr))

you can find all episodes here:

http://diziport.com/Deli_yurek-izle