help me with the verb (To Be) when I must not write the verb to BE (am Is are) ? in some sentences we don't write them .. i wish my question is clear .. thank you :)

My friends Hi .. long time not be here .. missed this terrible website .. anyway I graduated from University 10 months ago and from this date still now I don't see my friends -not my best friends-. We always talking on social media , with these applications we don't have time for go together to any places in real life ..from the beginning I was annoyed, but now I used that .

Gary was falling and broke his leg while he was running . OR gary falled and was breaking his leg ??

What is the different between Wish and Hope ? I mean when i say i wish you .. And i hope you ... Etc .

I can! Yes I can , I always saying that to myself .. I'm optimistic too much , one of my dreams is be professional in English so i looking for someone who is native speaker of it to practice with her , i said her cuz i don't want with men , i feel comfortable when i talk with female speacially in social media cuz when i do that means just friendship no more but with male after awhile maybe he asked you a bad something to make relationship as male and female.i love this part of an amazing website. I'll write like this again as soon as possible , talk about my advantages and disadvantage . Also what is my problem with learn English , my lovely language .. That's enough bye!