Small corrections
1. Em her şemî civînê li dar dixistin dixin. - Every Saturday, we arrange the convention.
2. Hin kevneşopiyên me hêdî hêdî ji holê dirabûn radibin. - Some of our traditions gradually disappear.
3. Ez carinan rojbûna hevala xwe ji bîr dikim. - I sometimes forget my friends' birthdays.
4. Dersên me di saet şeşan de bi dawî ne. - Our classes end at 6:00.
5. Zarok di cejnan de kincên xweşik li xwe dikin. - Children wear beautiful clothes for festivals.
6. Şagirtên min peyvên nû ji ber dikin. - My students memorize new words.
7. Ez ji bo nivîsên xwe kompîturê bi kar dianîm tînim. - I use a computer for my writings.
8. Mamoste her tim waneyê bi pêkenokekê bi dawî dike. - The teacher always ends his lessons with a joke.
You got conjugations of some irregular verbs wrong. Unfortunately glosbe does not consistently give present tense roots for the irregular verbs. You can check wiktionary for them:
https://ku.wiktionary.org/wiki/xistinThere is also a list of irregular verbs in Hînker, page 138.
Next exercise, Unit 1, Part C, Exercise 7
1. Belê, karekî min pê heye. - Yes, I need him for something ('I have a matter with him')
2. Ez dixwazim jê re tişteki bibêjim. - I want to tell him something.
3. Tê de sê jûr hene. - There are 3 rooms in it.
4. Belê, dikarim jê re bibim. - Yes, I can bring (it) to him.
5. Kê ev wêne bi dîwêr ve kiriye? - Min pê ve kiriye. - Who put this picture on the wall? I put (it) on it.
(NB: ergativity)6. Na, ez zêde pê nizanim. - No, I don't know much about it.
Vijay, now we're only left with section 'Spartek' (Homework) from Part 1! Let's go for it!
And I suggest that we skip Exercise 1 (crossword puzzle) -- it's too random and difficult.