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Why do you ask questions when you already know?
为什么你明知故问? /为什么你知道还要问?

Why do you ask when you know the answer?/Why do you still ask when you know the answer.

I am an easy going person but I find this offensive
我的人很随和但我觉得这个得罪人

Thanks, but no thanks
谢谢,我不要 Thanks. I don't need it. [This is a more polite way of saying than the literal translation of "Thanks. I don't want it".  Your version is okay but more informal.]

Family fight over property/ family fight over estate/family fight over inheritance
争家产/争遗产/ "溏塘心风暴" Squabbling over inheritance.  The last one is hard to translate but the HK title suits it to a tee, Heart of Greed.  The literal meaning is "the violent wind of the non coagulating heart" or "the violence in the roving heart". In another words, from the Chinese expression 死心不息 "The heart will never give up" because of the double negative in the phrase.

A businesswoman killed her autistic son
女商人杀了她的自闭症儿子

It is known
众所周知 literally, "Everyone around knows"

He knows nothing He doesn't understand a thing.
他什么都不懂

Follow up
跟进

Throughout the day
一整天

Come and go with me，
来，跟我走,

Screw that!
我偏不要

Screw you！
去你的

Is it illegal to stick your feet out the window while driving?
驾车时把脚伸出窗外是违法的吗?

Their feet are sticking out from under the bedsheets. bed Sheet
他们的脚从床单下伸了出来

Setting off the booby trap Wrong meaning.  Should be "Detonating the [insidious] mine". Booby trap is ok.
引爆诡雷   

The hand grenade /went off /exploded.
手榴弹爆炸

Fried geckos and fried grasshoppers are unappetizing foods. If you leave out the word "food", the implication of the meaning changes!  Do you know why?
油炸壁虎,油炸蚱蜢是倒胃口食物

Looking at it makes me want to puke
看著它让我想吐

Cancer causing foods
致癌食物

Choking on a fish bone
鱼骨卡到喉咙

Choked on scrambled eggs?
炒蛋卡到喉咙?

Skimping on your sleep will wear down your body down.  Sleep wear = 睡衣
缺乏睡眠拖垮你的身体

Convey a nice message good news
传递一个好信息

Gas prices are soaring, house prices property prices rising high soaring and stock prices soaring surging up.
油价飙升,房价高涨,股价暴涨

I didn't get the raise
我工资没涨 My salary has not risen.

My employer refuses to raise my salary
我雇主拒绝加薪给我

I didn't get the raise I wanted
我没有得到我想要的加薪

I didn't get the raise I deserve
我没有得到我应得的加薪

My boss didn't pay give me my last check after I quit
我辞职后老板没有发工钱给我