Here are some mistakes and suggestions for improvement in the text:
"there are some problems." - Consider specifying the problems you're experiencing for clarity.
"I find some difficult to do my work." - This sentence lacks clarity. It could be rephrased as "I find it difficult to focus on my work."
"open-plan office brings problems." - Instead of "brings problems," you could say "poses challenges" or "creates difficulties."
"because of there are some background noise created by my colleagues." - This could be revised to "due to the background noise created by my colleagues."
"There are a chatting, ringing, slamming a door and others." - This sentence is grammatically incorrect. It could be revised to "There is chatting, ringing phones, door slamming, and other noises."
"I don't hear my own thoughts in this chaos. It pressure on me." - This should be "It puts pressure on me."
"I need repeat questions to our clients, and eventually they don't hear me." - This should be "I need to repeat questions to our clients, and sometimes they can't hear me."
"I have a solution how fix that problem." - This should be "I have a solution to fix that problem."
"I think it would be better if I work at home where I can pull weight to reach company's goals without efforts." - This could be revised to "I believe it would be better if I worked from home, where I can contribute more effectively to reaching the company's goals."
"What do you think of a remote job for me?" - This is grammatically correct, but you could consider being more specific, such as asking for feedback on transitioning to a remote work arrangement.
By addressing these points, your message will be clearer and more effectively communicate your concerns and proposed solution.