I make a mess when I use "To able to"

This week we have studied in English class the expression "be able to" and the modal verb "can". Although for my me it's not difficult to apply, I have some problem trouble when I have to use the past form, in the past continuous, present perfect... for example, as well as when they bring they add the conditional "would".

You will be able to get tickets for the recital if you arrive early.
Will you be able to go with us?
The children haven't been able to study a lot today.
Ms. Peterson to was able to contact with my this morning.
The police were finally to able to resolve solve the mystery.
Jim was not to able to meet Richard yesterday.
My mom had been was able to clean the house after that we arrived at home.
After I had been was able to open the box, I discovered that it's it was empty.
If my cousin danced every days, she would be able to become a professional dancer.
Peter would be able to speak Italian if he would be able to were able to live in Roma Rome for one year.
What the he loves most is being able to speak.


Thanks.

"Had been able" and "would be able" sound extremely unnatural and unusual. Substitute both for "could" and you have a good sentence. For instance, "Peter would be able to speak Italian if he were able to live in Rome for a year" would sound much better as "Peter could speak Italian if he could live in Rome for a year." 

Spanish tends to use "have + participle" a lot when talking about the past, but it's used very infrequently in English. Just use the regular past tense.