Answer :

"We're tired of doing chores everyday," complained Max and Emma.

That's with American punctuation style.
It's "we're tired of"

The sentence reads "were tired of" This kind of were would be used in a sentence like this "we were tired of" This is past tense

The sentence in queston #4 should be "we're tired of" because we're is short for 'we are' So "we're tired of" "we are tired of" This is in the present tense

Hope this helps.