1. I surf the internet on my mobile phone to get information and take a break while watching videos and using sns during my break.
Are they right sentences?? 用 英語 (美國) 要怎麼說？

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Grammatically yes they are correct. But, I don’t think anyone really says that. So, you could say this instead:

I go on the Internet, on my phone (mobile phone can be shortened to just ‘phone’) to get information and take a break while watching videos and using social media (people usually say social media instead of sns).

-you don’t need to add ‘during my break’ again at the end since you already said ‘… take a break while…’. It’s like you are repeating yourself.