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Hello Bert! If you Mac's charger light its not illuminating then the problem is with the charger. If it turns green and still not charging your macbook then the battery is the issue. Also i am sorry you lost your iPhone and this is a bad coincidence.
You listed your computer as "iMac" I assume it is a laptop computer right? Try this:
1. Shut down the computer. 2. Plug in the power adapter to a power source, connecting it to the Mac if its not already connected. 3. On the built-in keyboard, press the (left side) Shift-Control-Option keys and the power button at the same time. 4. Release all the keys and the power button at the same time. 5. Press the power button to turn on the computer. 6. Press and hold the Command-Option-P-R keys before the gray screen appears. 7. Hold the keys down until the computer restarts. 8. Release the keys.