Yes. Those verbs are correct.
However, "everyday" is an adjective. You need two words, "every day," in this sentence.
Regarding see and saw is this correct?
The boys saw the fire trucks across the street.
Regarding do and did is this correct?
They did their homework everyday.
2 answers
All of your alternative answers are correct depending on what time period you are talking about.
If the boys see the truck now, then "see".
If the boys saw the truck yesterday, then "saw".
If the boys do their homework every day this year, then "do".
If the boys did their homework every day last year, then "did".
If the boys see the truck now, then "see".
If the boys saw the truck yesterday, then "saw".
If the boys do their homework every day this year, then "do".
If the boys did their homework every day last year, then "did".