The way one can speak faster is by trying to think in English rather than trying to think in a native language and translating to English. this way you'd make less mistakes and also speak more fluently and faster.

I can run faster than he (can) is the most appropriate

you should say going out for dinner. you always go out 'for' a purpose not 'to' a purpose.

It's = it is. It's is a contraction of it is. e.g. It's hot today (it is hot today). Its is a possessive. e.g. The dog wagged its tail.

it is ideal to put yourself last.

is there any milk in the fridge is the correct way to say this. milk is uncountable. we cannot put an article before it

it means to not be the only person who is important in a situation or in a group.

both are valid in English

this statement is used to ask the price of something. it is the same as how much are those shoes in the window for?