Kheili khob.  I'm not from Iran, but here is my attempt.  I want to see what natives say!

''Dashtan''

1. Ma dar Iran do ta mashin dashtim.
2. Un ye asb, do ta gorbe va morghha-i va hargushha-i dar khuneyesh dar Torkiye dasht.
3. Anha chand ta dust dar Tehran dashtand.
4. Diruz cheghadr pul dashti?
5. Televizyon nadashtam, vali radioye ghadimi dashtam.

From what I understand, plural markers are often not needed.

-ha = "the _____s"

-ha-i = "some _____s"

My question for the native speakers is, could you say

"2. Un ye asb, do ta gorbe va morgh va hargush dar khuneyesh dar Torkiye dasht."

???

''Dashtan''

1. Ma dar Iran do mashin dashtim.
2. Un ye asb, do ta gorbe va chandta morgh o khargush dar ( tuye ) khuneyesh khuneash dar Torkiye dasht.
3. Anha ( ouna ) chanta dust dar Tehran dashtand.
4. Diruz cheghadr pul dashti?
5. Televizyon nadashtam, vali ye radioye ghadimi dashtam.

your text's language is informal.. you may add the the words in this color or use the words in Paranteces instead of the word before. whitout them your text is still correct, just where I made it red is a little wrong.

zabane matnet mohavere hast.. mituni kalamati ro ke be range khakestari kardam ro dar matnet estefade koni, va az kalamati tuye parantez hast be jaye kalameye ghablesh estefade koni. vali bedune unha ham matnet eshtebah nist, faghat un un jayi ke ghermez kardam ye kam moshkel dare.

and here is a more formal way, maybe like in books:

1. Ma dar Iran do mashin dashtim.

2. Ou yek asb, do gorbe va tedadi morgh va gorbe dar khane ash dar Torkie dasht.

3. Anha chand dust dar Tehran dashtand.

4. Diruz cheghadr pul dashti?

5. Televizion nadashtam, vali yek radioye ghadimi dashtam.

you are already so good in Persian, the translations were so good. and it was just the things i thought it's better if I mention.