I've been inhad trouble from about oneor the last year ago.

"been in trouble" here would imply that you have some level of responsibility for the trouble. "had trouble" doesn't carry the same implication.

It's noise from an upstairs neighbors noise.

Todaynight is party night too.

"tonight" is the night time version of "today". Since you specify "night" it's more natural to use "tonight".

I can hear chatting, noise like and knocking noises on the floor now.

They also sometimes shout loud voices,ly, or sing along (to music).

I've been in thad a prouble fromm since about one year ago.

"being in trouble" doesn't work here, because it implies that you are actively part of the situation. It strongly implies something YOU did is the cause of the trouble, and you are receiving the punishment/consequence of your action (ie. "I got in trouble for cheating on the test.").
There is another situation you can use it where you are not at fault, but it is only used for very grave situations, often intensified by adding "big," ie. "If there's a financial crash I'm going to be in big trouble."

I've been in thad a prouble fromm since about one year ago.

It's anoise from my upstairs neighbors noise.

Today is a party night too.

I can hear chatting, and noise like knocking on the floor now.

They also sometimes shout loud voices, sing aloly and sing.

If you use "along", it should be clear along to what. "sing along to music". If they're singing along with each other, you can just say sing or sing together.

I will sleep with earplugs tonight.

Please give me good sleep.

Who are you asking? Are you asking the earplugs to help you get good sleep? Just in general?

Please let me sleep well tonight <- something like that might be more natural