Sending addresses info is this: These are your Litecoin addresses for sending payments. Always check the amount and the receiving address before sending any coins.
Im starting to think these are the litecoin addresses i have used before.. where i have sent coins before, like history..? or maybe not?
Correct.
If this is the actual history the coins are gone to someone else wallet.. in this case gone forever lol.
Correct. That leaves only one question: do you know who you sent them to?
And looks like these coins are moved to somewhere else, i did not receive them.
If it's an exchange, that could be an automated process.
If this is true, then the coins were received by GoCoin payment processor by accident, because the only addresses there can be GoCoin gateway addresses that i have used to pay for some products.. i wonder if i can contact them IF THIS IS TRUE, and could get my coins back?
Try it. But when you do, include all the evidence (including a signed message from your input address), so they can instantly verify your claim. They may or may not be willing to help you, just try (and post the results here).