Happy nNew yYear 2023!

We capitalize the first letters in Happy New Year.

Last night, we made a partyied very hard.

This is very slangy but I think this is what you're trying to say.

I was so late to get thegetting to bed and woke up with a headache.

Today, it is 31 on the day New Year's arrivaled.

Happy nNew yYear and best wishes youthat you become more handsome and have good health.

I'm not sure what you're trying to say here so this is my best guess.

Thanks.

Happy nNew yYear 2023!

Title - all the important words need a capital letter.

Last night, we made a partyied very hard.

You cannot "make a party". You probably do not need the comma ,

I was so late to get the bed and woke up with a headache.

Or "I got to bed so late [...]". Need indefinite article before headache.

Today, it is 31 on the day New Years arrivalthe 31st, and the day before the arrival of the New Year.

Happy nNew yYear, and I wishes you more handsomehappiness and good health.

New Year is a festival so capital letters needed. No one would say "I wish you handsome"

Thanks.

Happy nNew yYear 2023!

Last night, we made a party verypartied hard.

I was so late to get theo bed and woke up with a headache.

Today, it is December 31, on the day New Years arrivalbefore the arrival of the new year.

Happy nNew yYear and wishes you more handsome! Wishing you happiness and good health.