It's Raining Again

I am correcting this entry because Dennis Vi had asked to comment on his correction so that he can learn and improve.  I suppose he likes my style.  Thanks anyway.  The green are his correction.

It's raining again! It's raining everyday and it's raining all the day.

Rain Again!  Raining everyday! And all day long too! I would write something like this to make it more colorful.

I'm sick of it! I can't go to the park (take a walk to the park) OK but a bit more formal with my son because the swings and the slides are (got) OK too but is more informal.  In writing, unless there's a very good reason, keep the tone of the essay consistent. wet and slippery.
I love to go outside and have a long walks with my father's dog (and take out my father's dog out as well), The sentence is grammatically correct but a dog is not a human being.  So your way is better. seeing my son ride his bike but we can't go out (it's redundant since we already know it's about going out) There's a fine line between redundancy and making an emphasis. I would rewrite this as, I like to see my son riding his bike but we can't in this weather! because it doesn't stop raining (it keeps on raining). Now this becomes emphasis and more in complaining nature. I'm really bored of watching TV and I (you can leave out the pronoun) don't know what to do.

Maybe we'll go to the indoor swimming pool instead or we'll wear will don ["wear" sounds out of place, and "don" too formal.  I would use "put"] the rain clothes and rain (understood!), put on the boots and we'll [good] go out anyway.  I would rewrite this as, "Perhaps, to an indoor pool or put on our rain gear and brave the miserable weather"  I used the word "gear" to imply for preparing to fight with the weather

In a nutshell, All in all, I'm going bonkers in this imprisonment. completely crazy locked staying in! because of the rain.
I'm going nuts staying indoors! [good]
The This rain's really driving me crazy! As an alternative but not together since it would be redundant.

On the whole a good correction.  Just some stylistic differences.  This should give you more confidence and with finer suggestions, you will improve greatly.

It's raining again

It's raining again, lately it has rained everyday and today it's been raining all the day.
I'm sick of the rain. I can't go to the park with my son because the swings and the slides are wet.
I love to be outside and to take my father's dog for a long walk, I love to watch my son ride his bike but we can't go out because it doesn't stop raining. I'm bored of watching TV and I don't know what to do.
Maybe we'll go to the indoor swimming pool or we'll put on some waterproof clothes  and wellington boots and we'll go out anyway.
I'm going crazy locked in because of the rain.

Blue = suggestions. Red = corrections.

Well done, I hope it has stopped raining.

It's Raining Again

It's raining again, it's rains all day, everyday and it's raining all the day.
I'm sick of rain. I can't go to the park with my son because the swings and the slides are wet.
I love to go outside and have a long walk with my father's dog, my son and his bike but we can't go out because it doesn't stop raining. I'm bored of watching TV and I don't know what to do.
Maybe we'll go to the indoor swimming pool or we'll wear raincoats clothes and rain bootsgaloshers/wellingtonboots and we'll go out anyway.
I'm going crazy locked in because of the rain.

It's raining again

It's raining again, it's raining everyday and it's raining all the day.

I'm sick of it! I can't go to the park (take a walk to the park) with my son because the swings and the slides are (got) wet and slippery.

I love to go outside and have a long walk with my father's dog (and take out my father's dog), seeing my son ride his bike but we can't go out (it's redundant since we already know it's about going out) because it doesn't stop raining (it keeps raining). I'm really bored of watching TV and I (you can leave out the pronoun) don't know what to do.

Maybe we'll go to the indoor swimming pool instead or we'll wear will don the rain clothes and rain (understood!), put on the boots and we'll go out anyway.

In a nutshell, I'm going completely crazy locked staying in! because of the rain.
I'm going nuts staying indoors!
The rain's really driving me crazy!