IELTS: Writing Paper Part 2. Task Type: Letter to an Editor

Comments: The indefinite article is always an rather than a if the next word starts with a vowel (a, e, i, o or u). The use of the comma is debatable, but for a sentence of that length it's better to break it up with a pause in my view. If the full name finishes with an s, the apostrophe goes after that s; that is, at the end of the full name. I would not have used "jot down", which suggests making a note of random thoughts; "write" would be better for this.

The lack of full-equipped laboratories in most Italian schools sadly is a reality that I do agree we should change. Increasing funds for computers and other equipments that would let students learn faster and more efficiently is a foward-looking forward-looking measure to invest in our country country's future source of income.

In English (unlike Italian) country names which are used as adjectives need to be capitalised. I would use either "that" or "which" in the place that I have shown to make the sentence flow more smoothly. Which source of income? The source of income of the country. It must therefore have a possessive apostrophe to show that it's the country's income.
I am also aware of how averagely poor the average English english knowledge of our young men and women is. I would never put stock in a country that is incapable of managing international meetings, lest being it be ridiculed worldwide for the way it conveys the message .The problem is partly related to the fact that, in pubblic public schools, we seldomly seldom hire native english English speaking teachers. Instead, we prefer italian Italian natives who , at best, studied languages and spent some time abroad. Having two or three native english lecturers per school would definitely improve the situation.

I'm going to have to do this correction in two parts because of the accursed length limits on Italki. "Averagely" is an adverb... actually, just trust me on this, you need an adjective to qualify the noun "knowledge", not an adverb. Lest is not wrong but it's very old fashioned. I would say something like "because of the risk of it being ridiculed... (etc). With regard to "seldomly" vs "seldom", this entry explains it well: https://en.oxforddictionaries.com/definition/seldomly.

Continued...

Continued from my earlier correction because of Italki's accursed space limits. Unfortunately the earlier one probably appears below this one, so read that one first.

Having two or three native English lecturers per school would definitely improve the situation.

I missed the capital in the first part of the correction.

Lastly, I would like to point out that we would never get free of our “out-of date system” if it is primary primarily composed of  “out-of-date mentors”. Since the retirement age has been increased and stable positions narrowed to an handful, younger teachers work in precarious positions for most of their carreers careers.
Although experience is an essetial essential aspect of being a teacher, I think young minds and ideas are key to freshen up and give balance to an education system that aspires for both quality and innovation.

Almost right. You have the option of "are key to freshening up and giving balance to ... etc or alternatively "the key that will freshen up..." (etc) Also I would prefer "will never get free" to "would never get free", though when I started to write out why I realised that it's extremely arguable. Accordingly you should just regard it as an alternative.

I hope my letter will give readers a stimulus for reflection and the courage to offer their own ideas.
Yours sincerely
Milena S.

Your skills are well advanced. Well done.

IELTS: Writing Paper Part 2. Task Type: Letter to an Editor