Part 1

correction   suggestion

Рассказ "Не надо врать"

Рассказ "Не надо врать"

Part 2

Notes

(1) There should be no space between the last word of the sentence and exclamation mark in Russian.

(2) Or прочесть (the meaning would be the same).

(3) If you're referring to the process of reading (it was interesting and not too difficult), the sentence is OK, you just need to add было to indicate that it was in the past). However, it sounds a little bit better if you phrase it as Anna suggests: "it was interesting and not too difficult" referring to the story itself. Рассказ is a masculine noun, hence он, интересный, трудный.

(4) Скажет - the verb is in the future tense, and I think you need the present tense here.

(5) Разговаривает = talks; рассказывает = tells or says. 

(6) Or "отвлекали его" (distracted him).

(7) You can say "попросил" (asked) here, but since it all happened at school, you can use the word вызвал. The word has a lot of meanings but in the school context it means the same (e.g. we can say вызвать ученика к доске = lit. to call a student to the blackboard).

(8) Научить = to teach (somebody); выучить = to learn (something; usually by heart or on a very good level).

(9) Я не читала продолжение, так что скоро напишу еще один конспект (= I haven't read it, so I'll write another entry soon [after I read it])

Я не читала продолжение, так как скоро буду писать еще один конспект (= I haven't read it, because I'll be writing another entry soon [i.e. I have no time for reading it, I'm busy writing something else]).

Very good job, Anastasija! Keep up the good work! :)

Рассказ "Не надо врать"