Nice to meet you all!!!

Hey! I want to go another country to work. I have some problems with speaking English. And I want to find new friends. A lot of new friends!

Overall, very good! You could omit the "with" in your third sentence, "I have some problems with speaking English" to make it a bit more colloquial, and some teachers would insist that you replace the period before "and" with a comma (so that you do not begin a sentence with "and") -- however, that's actually a bit of an overcorrection, as many great journalists and writers make good use of "and," "but," and "because" at the beginning of sentences for emphasis. But as is, your writing is perfectly accurate and clear!

Nice to meet you all!!!

Hey! I want to go TO another country to work. I have some problems with speaking English. and I want to find new friends, a lot of new friends!

I don't see that many problems, just a couple of tiny ones. Good work :-).

Nice to meet you all!!!

Hey! I want to go to another country to work. I have some problems with speaking English, and I want to find new friends. A lot of new friends!

Your English seems fine to me.