This is correct, but you might clarify it and say: I’m convinced that having a good night’s sleep is the best way to get off to a good start the next day.

Quick edit on this part: “due to the internet connection was very poor.” When you use “due to” you need to put an object. You would say, “due to the bad internet connection at the airport.” If you want to use a subject-verb (“the internet connection was”, then you’d use “because.” So two options would be:

1. I couldn’t complete online check-in before the flight because the internet connection was very poor.
2. I couldn’t complete online check-in before the flight due to the poor internet connection at the airport.

But “off to a bad start” is perfect in this example

🤗

That might sound strange. The more mistakes I made, the more feedback I get. I’m thrilled to see your feedback every time because there are existing cultural gaps between Chinese and English. Through your feedback, I can see more perspectives and get different usages in English. Thank you, Jeff. It helps me a lot.

Both examples are correct in using “get off to a good start.”

“Chew on” is a funny example. You may have learned that it means to think about something deeply. But I would say you should use it when thinking about a problem, an ethical dilemma, or something you need to resolve. In this sentence, you might even say, “…week by reflecting on what I’ve learned.” Reflecting on means, to think back on something, to process it in your mind.

Here’s how you might use chew on: “This week got off to a strange start. I saw someone turn on the AC in the library even though he was the only person in there. I was chewing on whether to report it to the condo board, when someone else spoke up for me and asked our neighbor to turn off the AC.”

8:20 is not even close to 6! You must have needed the sleep. A few tips:

“My dog broke the toy of another dog at home” > “My dog broke another dog’s toy”
“refused to get out of” > “refused to leave”
“I started to work later” > “I started work later than normal” or “I started working late.”
“Over the day” > “Over the course of the day”
“Things got normal” > “Things got back to normal”

“Home office” is a strange phrase – it’s an Anglicism in many other languages that doesn’t mean what it means in English. In English, “home office” is a room in your house dedicated to doing work. In other languages “home office” (said in English) means “performing your job in your house.” For that, we say “work at home.” So you would say, “It didn’t affect my job since I work at home, but it’s…”