Nöbet (also arabic) tutmak- THE USAGES OF THE VERB TUTMAK! I dont know what this verb means anymore, its used everywhere. I just saw that when preceeded by nöbet it means to stand gaurd.

Nöbet tutmak basically means ---> to guard [ to keep watch and ward] 

So, smilar to  english verb, "tutmak" functions as an "auxiliary verb", helping verb. This verb helping the noun "nöbet" functions as a verb. 

In other words the arabic loanword become a verb by the help of turkish verb "tutmak" [to keep/to hold]

Yolun neyse hesapsızca yürüyebilirim

-I can walk on your road without thinking of consequences.

Questions: why the -ca at the end of hesapsız? What does it mean? Also in the dictionary Im using ´hesap´ translates into bill, which doesnt make sense so again I used arabic (actually hesap also means bill in arabic but it has several usages) hope im right and that its hesap+sız

Literally, it means in countless way, without making record of it, it actually means “without careful consideration” “rashly”

So, -ca suffix function as “ in a way of “

Benimle kibarca konuştu.  -à He/She talked to me in a polite way. [Politely]

Beni dikkatlice dinlediler. -à They listened to me in a careful way. [carefully]

Yes, ömür  means life. When this word takes an ending starting with a vowel, 

ömür + ü  the last vowel drops ---> ömrü

That´s why may be you couldn´t find it in dictionary. It´s an arabic loanword and the final vowel dropping rule apply to this word.

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Sharing a life on ONE pillow means, not getting seperated to end of life. Not sleeping on "another pillow" , in other words, not getting seperated and always being together to the rest of life.

This phrase which is used as two words “olur olmaz”, here it is kind of adjective “olur olmaz dertler “ -à big or small troubles , troubles caused with reason or without reason / important or unimportant troubles

Yes, “dertlerinden sıyırmak” here is "get you out of troubles”

dertlerinden sıyırabilirim. -àI can get you out of your troubles.

Overall, your translation is good !

It may sound bit weird to some people as may be understood as "sending someone away "

example :

Beni yollamaya çalışıyorlar. ---> They are trying to send me away. [Trying to getting rid of me]

So, its better to stick with "yolculamak"

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However, in some special occasions like sending someone to military service we use that verb " yollamak "

Bugün Rıza´yı askere yollayacağız. ---> We will send Rıza to Army service today.[In other words we will make a small ceremony for Riza at the bus station/home saying goodbye /take care to him]

Place the appropriate buffer letters in the words / sentences below.

1) Evinde  -à In his/her house

2) masasından  -àFrom his/her table

3)    Okularını seviyorlar.--à They love their school

4)    bunu  al. -à Take this

 5) şunu yap -à Do that.

6)    masanın üstü -à  The top of the table

7)     gecenin yarısı  -à The middle of night

8) İkişer  ikişer -à Two by two

9)    Benimkini  gördün mü ? -à Did you see my one ?

10]  Onunkini  saklıyorlar. ---> They are hiding his/her one.

Just dative ending -a/e  needed with the verb -şaşırmak.

O kadar geç olmasına şaşırdı.

Turks are suprised/astonished/amazed  TO something.

Place the appropriate buffer letters in the words / sentences below.

1) Evi.de  -à In his/her house

2) masası.dan  -àFrom his/her table

3)    Okuları.ı seviyorlar.--à They love their school

4)    bu.u  al. -à Take this

 5) şu.u yap -à Do that.

6)    masa.ın üstü -à  The top of the table

7)     gece.in yarısı  -à The middle of night

8) İki.er  iki.er -à Two by two

9)    Benimki.i  gördün mü ? -à Did you see my one ?

10]  Onunki.i  saklıyorlar. ---> They are hiding his/her one.

Evet, hepsi doğru. Bravo ! Just, it would have been better if you use the verb "yolculamak" instead of "yollamak", however, "yollamak" can be used too.

Double consonant in the end

Limited number of Turkish  words contain double consonant in the end. Those typical ones are :

-lç, -lk, -lp, -lt ---à  ölç-, ilk, alp, alt

-nç, -nk, nt --à inanç, denk, ant

-rç, -rk, -rp, -rs, -rt ---->  sürç-, ürk-, sarp, pars, art

-st -à  üst