I mean, i'm honorably discharged and wanted to know if there is any benefit from that with my license.
Sure, no problem. If you have your U.S military veteran condition already established,  then you can have the word "veteran" printed on your NYS driver license or non-driver ID card.
That would be great. Something else, it's allowed for me to request my license delivered to an alternate address?
Yes, you are allowed to request that. In that case, you need to include an additional note stating that request and print the alternate address you want your license delivered. Please be aware that you must'n write the alternate address on the form MV-44. That form should have is the address listed on both your photo document and DMV record.