They're supposed to be tuned to E,A,D,G, B, and E, from thickest to thinnest. (That's why they're called the E, A, D, G, B, and E strings.) The little b is a flat sign. Eb or E-flat is the note that is half a tone (a semitone) below E, for example. In other words, it's halfway between D and E. So, your strings are still too loose, except for the G string.
I suggest you try an online tuner that will play the correct notes out loud for you, like the one at www.tunemybass.com. Be sure to tell it you have a guitar and not some other instrument. I'm wondering why you're getting fret buzz and noticeably floppy strings - that's too much of an effect for being only half a tone low, but if you were in the wrong octave entirely, I don't think you would be able to detect it with the tuner at all. But maybe the action is too low (which would mean the strings are too close to the fretboard) or you bought a child size guitar, which has lower string tension because the strings are shorter. At any rate, the online tuner will tell you how it should sound when you tune it correctly, and if it still buzzes then, we can set about figuring out why.
Guitars should always be shipped with the strings loose. A set of strings can exert well over a hundred pounds of stress on the instrument, which makes things much worse if it's dropped, bumped, or subjected to drastic changes in humidity. Under normal conditions, you should keep the strings tuned to pitch. You will need to retune it every time you play it to keep it that way. Guitar strings go out of tune fairly quickly, but are easy to tune. It's not like a piano where it lasts for months and then needs a pro to tune it.