*It's better to use some transition words (red words) in your writing. Just like English, we will use 'and', 'or', 'although', 'however', etc.

For example,
今天，我有去工作，還看了报纸。
然後我吃了米饭，它非常好吃！
我還喝了咖啡。
之後我打了篮球。
现在我忙著在家裡学汉语。

And some recommendaton:

今天，我有去工作了。 You can say '今天，我工作了' or '今天，我有去工作了' or '今天，我有去工作'

I would not say '今天，我工作了' is wrong, but I prefer to say '今天，我有去工作' to connect with and continue the unfinished article.

我還看了报纸。 You can skip 'people' if you still talked about the same person, but you have to put an appropriate transition word on it. Such as '還', '然後' (both means 'and then')

然後我吃了米饭，是非常好！

If the '是非常好！' was for describing the '米饭', you should say that '它非常好吃(it's yummy/delicious)'.

it=它; yummy/delicious=好吃

我還喝了咖啡。
之後我打了篮球。

Those red words are transition words you can put here.

现在我学汉语在我的家。我很忙。 If you meant you were busy at home because of learning Chinese, it's better to say '现在我忙著在家裡学汉语'.

'现在我学汉语在我的家。我很忙。' is more like two different things. I know 'you're learning Chinese at home now' and also 'you're busy'. 

Hi Shona,

This is my opinion. Hope that helps :)

Claire

今天15.01.2016

今天，我（去）工作了。 我看了报纸。 我吃了米饭，是非常好！我喝了咖啡。我打了篮球。现在我在我家学汉语。我很忙。

今天15.01.2016

今天，我工作了。 我看了报纸。 我吃了米饭，是非常好！我喝了咖啡。我打了篮球。现在我学汉语在我的家。我很忙。

Compare this more natural one with your own,it may help you know better where the problems are.

今天，我工作了。我看了报纸，吃了米饭，感觉不错。我还喝了咖啡，打了篮球。现在我在我家里学汉语。我很忙。

今天15.01.2016 Dates in Chinese: 年-月-日