Jakieś błędy?

Ann was walking along the river and was talking on her phone,
when suddenly she noticed there was a man in the river.
He was swimming to the side, but he was having problems.
Quickly, Ann jumped into the water and swam up to the man.
But while she reached him, his head went under the water.
Ann swam under the water, but she couldn't find the man.
A few moments later, saw the man at the side of the river.
He was with some friends and they all laughing at her.
At the moment, she realised that it was a silly joke.
But shortly afterwards, two police officers arrived to talk to the men.

Past Simple vs Past Countinuous - Mam z tym problemy, więc prosiłbym o pomoc

płynął do boku, czemu?
podczas gdy sięgnęła po niego?
jest czasownik na 'plynac pod powierzchnia wody' cztery litery na d :-)
saw the man - a gdzie podmiot
w nastepnym zdaniu tez brak wyrazu

reszta ok

Duda?

kto wie, kto bedzie musial zanurkowac politycznie np. za rok :-)

...when suddenly she noticed THAT there was a man in the river.
He was swimming to the side (ale czego? trzeba napisac) , but he was having problems.

But 'while' (zle slowo, tutaj trzeba 'zanim') she reached him, his head went under the water.

A few moments later, (ale kto? tu nie jest jasne) saw the man at the side of the river.
He was with some friends and they (tutaj trzeba slowa) all laughing at her.
At 'the' (zle slowo, tutaj trzeba 'that') moment, she realised that it (tu brakuje slowa) was a silly joke.

W ostatnim zdaniu ja bym zgubił but i przecinek ;-)