"filling" means something that makes you feel full quickly.

And please write in 한글.

To use 안 would mean you speak Korean poorly by choice^^ You mean 못.

One of the ways to say you can't speak/use Korean well is "한국어를 잘 못해요."

Also, I'll take some native opinions here, but the first sentence sounds a bit off to me. I was trying to keep the corrections simple.

Perhaps 할래요 instead? 

Or 한국어 공부하는 사람들은?

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You did really well! I hope you learn from the corrections you receive, and I hope to see more from you soon :)

Yes, italki has many functions^^

Welcome back!!

(너는) 영어를 공부하면 스카이프로 이야기(or: 말 or: 대화)하고 싶어요? 친하게 지내(세)요 (or: 우리 친구해요)? 미안해요. 저는 한국어를 잘 못해요.

너 is kind of informal and casual and used you people younger/the same age/status as you, so I wouldn't necessarily recommend using it^^

(으)면 is a grammar point expressing the conditional...aka "if". So..."if you're studying English..."

Skype is spelled 스카이프.

(으)로 is used to show a means (and has other uses)...aka "with" or "by". So..."talk on/through/with/via/by Skype".

스카이프를 이야기하다 wouldn't make sense. You're talking the Skype? Actually, 이야기하다 is a 하다 verb so it's really "이야기를 하다". What you're doing (하다) is chatting (이야기), not Skype.

이야기하다 - tell a story, chat

말하다 - talk

대화하다 - converse

"Let's be friends" is "친하게 지내요" or "친구 해요" for example.

미안해요 was misspelled, no biggie.

I think by 조은 you meant 좋은. However, that means "good" (an adjective). You mean "good" as we frequently misuse it in English - which is to mean "well" (We say "you did good" but we really mean "you did well"). "Well" is 잘 (an adverb).

이야기하다 is a bit different than 말하다...you seem to like using it^^

Also, 안 means "don't" and 못 means "can't".