Thank you!! For the first sentence why do you get rid of the last e in parlare?

There are two different pronouns in Italian, some that get attached to the verb and others that don't. The standalone pronouns are used to emphasise the sentence (ex. "Non voglio più vedere te" is better translated as "it's you I don't want to see anymore"). In a neutral sentence you should use the pronouns that get attached (the proper term is "clitic pronouns").
Whenever you use a clitic pronoun with an infinitive form, the last "e" drops: parlare-> parlarti.

Also, don't forget about "apocope". It's mostly found in poetry and songs, but the form "parlar" is as much correct as "parlare", the former is just more poetic and rarely used in the spoke language besides very specific cases. For example, when you use two infinitives one after another, the first one drops the final "e": saper fare, voler parlare, voler dire, dover andare, etc.