Ok, so I know you took the globe image from google images. A search of neon globe reveals shutterstock footage that requires you to purchase a license. Although the title says 100% royalty free, that is refering to something else on the reference webpage. If you did make it then it is extremely similar to the point its identical.
Ive also done a search for the font and come back with 1 result that also requires a desktop licence to be used for producing graphical work. Although, the font finding method is not 100% accurate. If you used a built in windows font you should be fine (Not legal advice, read microsofts font terms).
Other than that, the globe has been warped to fit and so is pixelated. It does not grab you attention. You dont need the global part. You could get away with just a globe and DayZ written somewhere.
Because you have gradiented the text, when viewed as a small icon, the text fades into the background making it difficult to see.
Also, on the point of text, because DayZ is written so small, the logo can only really serve a purpose as a large banner. A logo is required to be scaled to many sizes to fit.
To summarise, I would.
-Delete the globe
-Make the text more eligible and avoid black to black gradients
-Try to make a symbol rather than text as they scale better
-add something more personal to it, it is representing you, as it stands its very generic
Hope this helps, if you want me to look at some of your other designs let me know.