A trip to Sicily

“This is my son, Salvatore. He is a handsome boy, isn’t he? Not like me eh.” He laughed caressing his bald head. “Salvatore is tall, well-built, a real romantic like Rodolfo Valentino.”(You are comparing the son to someone else, I think, so say 'like')
Monica smiled a little bit embarrassed. Her attention was concentrated on the poor Alexander, who was picking up all the glasses with his ant   Aunt Li.
“My daughter is a high school graduate now and (You don't need to have 'and' because  'with' acts an conjunction) with the best marks.”

Silvio De Luca tried to divert the conversation to another subject. “And soon she’ll be the general manager of my telecommunication empire, won’t you?” He said proudly, clutching Monica by her shoulders.
She nodded a forced smile. “In reality pa Actually, I love to draw so much that I’d like to attend the Art Academy in Venice…” (if it is a young person speaking they would use the word 'Actually' or 'Sorry Pa but'..')

“What?” Mrs. De Luca couldn’t believe her ears. Her daughter in a Academy full of silly, young people with a lot of dreams and no money in their pockets.

“Don’t worry mam. I’ve just found a nice flat with good girls and I’ll do all my exams on time without losing time. I promise!” Monica crossed her fingers to seal her oath. “Mam, let me go and I’ll do everything you ask me, please!?” ( or 'You asked of me')
Mrs. De Luca’s eyes glittered for a moment as she saw the solution to her diabolic plan. “Okay Sweetie, you can go to the Art Academy…” Monica hugged her mother so hard she almost suffocated her. “ But… only after a nice trip to Sicily to deepen you artistic and cultural preparation” Mrs. De Luca said categorically and gave a look to Don Vito.
He nodded. “Yes, of course. Sicily is the regain  region of art. And you can stay by  near us. We have a fantastic villa. From it you can see the entire Valle dei Templi.”
“Really? The Valle dei Templi is one of my dreams !” Monica confessed.( 'one of' implies there is a group of things to choose from and you picked one so the group name has to be plural)
“And our villa overlaps  part of the necropolis…”
“The necropolis?” Monica was enthusiastic.
“Don Vito nodded again. “So, will you be our guest in Sicily?”
Monica looked at Alexander for a moment. She had promised him to spend the summer camping together…
“Accept or no Art Academy.” Her mother insisted friendly.( this is odd because the have slightly different connotations/ ideas. insisted sounds like her mother is forcing her whereas friendly implies there is a choice. It sounds like she does have a choice) 

Overall, this is a really good piece, I was really intrigued. The mistakes in my view are minor, more to do with the subtle meanings of the word. 

Writing after a long long time

It’s been a long time since I last wrote anything in English or used idioms. That’s why my proficiency level has decreased a lot. I feel so bad about it because I really should be at least on an advanced level. The main reason for that is, I actually completed the whole English course at language school. But Now, I feel like I can even write this text properly. I feel so insecure now about using English, I am even using google translate all the time to check out some vocabulary. Of course, it’s not like I forgot everything about English, I’m sure I’d improve so much  more if I take some classes and start training    practising some writing again, as I’m doing now. Thank you for correcting my text, it means a lot to me.

a- nouns that start with consonants 

an- nouns that start with a e i o u

Completed- says that you have done the full course so it is redundant to say 'whole' at that point.

It is a really good piece. Watch out for articles though. 

long time no see(1)

It's been a long time since I've posted last time.

It's so hard to study English while working.

I regret that I didn't  not studying English when I was a student who had plenty of time.

(1) makes it more informal