Today, I was doingdid homework and played a track and field game. Today, I did homework and played a track and field game.

The past continuous ('was doing') is usually used when you're talking about what happened while you were doing something (e.g. 'I was doing homework when I saw a bird at my window'). Here you can just use simple past ('did'), since you're just listing things you did today. I'm not American, so I'm not 100% sure how to use the phrase 'track and field' - this is my guess. In my dialect (Australian), we would say "I did homework and athletics", though apparently 'athletics' means something slightly different in American English. Hopefully an American speaker will review your piece!

Today, I was doingdid homework and played a track and field game. Today, I did homework and played a track and field game.

It may be more appropriate to use the simple past tense “did” instead of the past progressive tense “was doing”. Another verb “played” may also be a more natural action word to describe doing track and field in English. “was doing” = していた “did” = した

Today, I was doing homework anddid homework. Also, I took part in a track and field game. Today, I did homework. Also, I took part in a track and field game.

Today, I was doing homework and track and field game. (better to use simple past "did". Past progressive implies ongoing activities, often combined with simple past, such as "I was doing my homework when the dog came in and bit me." You could say "Today I did my homework and played track and field games (or ran track and field).) Today, I was doing homework and track and field game. (better to use simple past "did". Past progressive implies ongoing activities, often combined with simple past, such as "I was doing my homework when the dog came in and bit me." You could say "Today I did my homework and played track and field games (or ran track and field).)

Today, I was doing homework and participating in track and field games. Today, I was doing homework and participating in track and field games.

"doing" track and field games is not the right verb

I feel very tired.. I feel very tired..

An ellipsis is usually "...", but ".." is sometimes acceptable in casual writing.

I feel very tired..… I feel very tired…

In formal writing, it is more conventional to use three periods (also called ellipsis) when ending a sentence in this way.

I will go to bed soon..… I will go to bed soon…

I will go to bed soon.. I will go to bed soon..

This is correct but "I'll go to bed soon" is more natural