minor mistakes :) but I recommend writing in Arabic script instead of latin :)

good job! 

(My answer to farids letter): 

Aziz Farid

Shukran jazeelan ya sadiqy ana tayyib giddan.
A'mal katiran aydan lakinni la a'mal alyawm. Ana 'ala Schurfaty alsaghira fy al shams.
A'mal al'an fy mustaschfa kabira kathabib. Almustaschfa jadida huna fy alfayyum.
Almumarridatu aljamilatun huna ya sadiqy ;-)
Askun fy madinat alfayyum al'an.
bijanib albayti taskun sadiqaty ayla. Ta'mal fy almustaschfa aydan. Hiya thabiba latifa.

Kayfa alhal al'an ya farid?

Ma'a salama wa ila alliqa
Omar

Answering a letter from Farid

(Omar got a letter from farid):

Aziz Omar

aktub hadihi alrisala fy susa. askunu al'an fy bayt jadid fy schari'a alistiqlal.
bayti saghir wa lakin jamil giddan. fy susa a'mal fy scharika kamutarjim. a'malu alyawm fy
albayt. maktaby saghir aydan wa lakin fihi maktab kabir wa kumbiutyr wa qawamisy.
A'mal katiran al'an li'anna almutarjima marida fy al scharika. lidalika ana al'an ta'aban qalilan.

bijanib bayti taskun mumarrida latifa gayydan. ismuha muna.
ta'mal katiran aydan wa lakinnha alyawm 'ala alschurfa.
wa anta? kayfa haluka?
hal ta'mal katiran am qalilan?
wa anta ta'mal al'an?

ma'a salama wa ila alliqa
Farid.




(My answer to farids letter):

Azizy Farid

Shukran jazeelan ya sadiqy ana bekheir.
A'mal katiran aydan lakinni la a'mal alyawm. Ana aqefo 'ala Schurfaty Al saghira fy al shams.
A'mal al'an fy mustaschfa kabirah (kathabib???Do yo mean:As a doctor). Almustaschfa jadidaton huna fy Al fayyum.
Almumarridat  jamilatun huna ya sadiqy ;-)
Askun fy  madinat  Al fayyum al'an.
bijanibi albayti taskun sadiqaty ayla. Ta'mal fy almustaschfa aydan. Hiya thabiba latifa.

Kayfa haluk al'an ya farid?

Ma'a Al salama wa ila alliqa
Omar