stuck on searching wont initialize

So it's stuck on the activation screen it seems. Have you check for the imei number if it's still there by clicking in the blue i, at the bottom right hand corner of the lock screen that shows the 'hello' in multiple languages?

If it isn't there then you have a logic board component issue where the imei is missing.

Have you tried restoring the iPhone 5? You will lose all data when restoring your iPhone.

How to put your iPhone or iPad into recovery mode:

1. Turn Off your iPhone, iPod touch, or iPad if it isn't off already.

2. Press and hold down the On/Off button on the right side (iPhone 6 or later) or top (all other iPhones, iPods, and iPads) for 3 seconds.

3. Swipe the slide to power off confirmation slider to the right.

4. Press and hold down the Home button on your iPhone, iPod touch, or iPhone.

5. Plug your iPhone, iPod touch, or iPad into your Mac or Windows PC and make sure iTunes is running.

6. Release the Home button when you see the Connect to iTunes screen.

7. At this point iTunes should display an alert saying it's detected an iPhone, iPod touch, or iPad in recovery mode, and will let you restore your device.

You have a big problem. I wish I knew how the fix the no service problem but I don't. You should bring your phone to a professional repair business to get that fixed. Only then you will be able to activate it.