1. Some workers train dogs to become service dogs for people who need assistance others workers accompany the mobile spay and neuter project for inner-city pet owners.
mistake in bold.
2. That's the other thing I learned: being active is just as important as eating better foods.
Correct
3.Over the years, many of us have read the words of Henry B. Adams: “A teacher affects eternity; she can never tell where her influence stops."
Correct
4.You know the feeling. it's minutes until the school bus comes, but you just rolled out of bed, threw on some clothes, barely brushed your teeth, and now you’re racing out the door to catch the bus.
mistake in bold
2 & 3 are punctuated correctly.