Thank you for taking the time to reach out to us, myungkil0346. We are glad to see you are back from your trip. Sorry to see your phone was lost. If you had insurance, you can file a claim with Asurion by giving them a call at 888.881.2622 or you can file a claim online http://bit.ly/07CrqPK.
You can use the old SIM card in the phone if the phones are similar. That means you won't be able to use an iPhone SIM card in an Android, however, iPhone to iPhone SIM cards will work and most Android to Android SIM cards will also work in another Android.
Have you already tried to enter the SIM card in the phone? If so, did it activate for you? I want to make sure you can get your phone working. I have sent you a direct message if you need assistance with this.
TamaraH_VZW
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