it's a replacement phone & your problem to reconfigure. it's not verizon's problem that you can't remember what apps you had. if wi-fi is encrypted, you have to use the same key, maybe a different channel on the router, i use "11".
if the ringtone came into the other phone it's history unless you can prove you purchased it.
To follow up on what bearone21 said, from a PC (or Mac) login to the Google Play Store at play.google.com, click on My Android Apps in the upper right hand corner and then scan through the apps you may have installed from Play Store (formerly Market). Then from your phone click on Play Store and download the apps you preciously had, one at a time. If you had apps from Amazon Appstore, then go to Amazon, login on a PC and check "Your Account > Your Apps and Devices" and find the apps you have from there. Download the Appstore app onto your phone and reload the apps you had previously. If you do not know how to do this, ask a trusted friend who does to help you.