"Protesters stormed the Capitol building after White House rally and One died during the incident. "
There should be a "the" in front of "White House". "One" should not be capitalized.
"Thank you all for the encouragement and thanks for 忒綠 give me the inspiration. "
The common use is "Thanks to somebody for doing something". The above sentence could be written like this "Thank you all for the encouragement, and thanks to 忒綠for giving me the inspiration." You could add a ", " after "encouragement" to prevent misunderstanding.
