It sounds like an application for a job, so I would change the translation slightly and avoid translating the word indywidualnych, as it doesn't add anything to the text. I would also add the word "effectively" to give it a bit more impact. In English, you have to almost over-sell yourself, which feels weird for some Europeans, but is usually effective for the purpose.

Here's an option for you:

I am excellent at effectively handling all tasks entrusted to me, as I am a responsible and communicative person.

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Note added at 42 mins (2020-05-07 19:45:13 GMT)
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Another option:

I excel at effectively handling all tasks entrusted to me, as I am a responsible and communicative person.

I actually prefer this option.