达人帮忙~

首先指出你的错误用法。
pay attention to 要接名词。所以你不能说：pay attention to foster (动词)。

In addition to paying special attention to fostering my managerial, coordination and cooperation abilities, I also spend time learning computer on my own and actively participate in school activities in my spare time.

I am self studying computer, and I actively participate in school activities in my spare time, so as to foster my managing, coordinating, and cooperating abilities.

说明：自学在英语里就是self study很简洁。
参加各种的活动，目的用so as to按你要求
连成了一句，另外ability没必要不断重复，而且用动名词来修饰比用形容词更合适。

While making progress in compute skills and school acitivities, i'm also trying to learn more in order to improve my managerial, coordinating,and cooperative abilities.
出于适当谦虚的需要（毕竟你在学习那些技能），句子还是比较长。

Through actively participating in school activities, I foster my managerial, coordinating and collaboration skills. Whenever time permits, I try to learn more computer knowledge and comp