'Exercise' is spelled wrong.
③ is unclear. Did your parents stop dreaming themselves, or tell you to stop dreaming? If it's the latter, the final part of the sentence should be relocated, for clarity.
In ⑤, if the permission is still in effect at the time of writing, it is more natural to say either "are allowing" or "have allowed". 'Allow' is a state verb (I think).
For ⑥ and ⑦, "telling me a lie" or "lying to me" are more natural.
In ⑩b, "give it up" should be changed to "give up".
In ⑪, the grammar is fine, but "what to use" is very vague. What materials to use? What fuel to use?
⑬ is somewhat awkward, and does not sound completely natural. Changing it to "I doubt their explanation about..." makes it a little better. Using a word other than 'explanation' would be helpful, too. For example: "I doubt their claims about the new product."