You're right, but if you don't list it in your profile, people might think it's a GT translation, which is not allowed on LT.

● "Lecę z dala" means "I fly from far away". It's the exact opposite of what the original says. A much simpler translation would be "odlatuję";

● For the second verse, I'm not sure you can use "biec" when speaking about the wind. That's up to a native to judge;

● You should put a full stop at the end of the third verse, otherwise people can't really tell if the sentence is supposed to be "odlatuję [...] gdy gonię [...]" or "gdy gonię [...] kręcę się";

● "kręci się wokół" sounds incomplete. Also "kręci" is a third person singular, here it still refers to a first person. A simple "kręcę się" is enough;

● "Kołować" is a verb, while "circles" in the original is a noun. Also "głowa" is feminine, so it should be "w mojej głowie", not "w mojego". Remember that you need the locative with "w" not the genitive. That said, the sentence doesn't make much sense if translated literally. If I correctly understood the meaning here, I'd suggest "kręci mi się w głowie";

● Again "sailing" is a verb, while "żeglowanie" is a noun-verb. Also "po ziemi" means "all around the world", while what the song says is that they're sailing on air. I'd suggest: "żegluję po niebie" or "żegluję nad ziemią".

I'd suggest to ask a native as well though.