Re: i lost my google play store app on my samsung note 3 by verizon
Welcome to Android Central! If you're unrooted, then you can't delete the Play Store. Is it only gone from the homescreen or from the App Drawer as well? You may have just removed the shortcut on the homescreen.
You might also have disabled it somehow--go to the App Manager, select Google Play Store, and see if there is an Enable button.
Re: i lost my google play store app on my samsung note 3 by verizon
Is your phone rooted? If not, it shouldn't be possible to delete that app. It may be hidden. Go into Settings, then Application Manager, and then All. See if it shows up there. If it does, select it and make sure it isn't turned off or hidden.