No power no lights

Try to plug the phone to a cigarette lighter. if it works then replace the battery.

You need to download Desktop Manager and install it first, use 4.6 without Media Manager:
https://www.blackberry.com/Downloads...93E4F3BB068C22
4.5 will work fine, 4.7 would require additional steps, and that version is unnecessary for a 4.5 OS.
You can download Media Manager, but most people don't use it. Once you've got your Mass Media Mode enabled, your SD card is just like an external drive. Anything you want to do, you can through My Computer.

Then, only put the SIM in your berry. If it's jabberwocky with just the SIM, you should be able to do a back up with out. When you connect your berry to the PC, with DM open, it will prompt you to make a back up. Simply follow the prompts, and it should go smoothly. Then you can follow this guide to hopefully return your Pearl to it's upright position:
Upgrade Guide for the 8100, step by step from A to Z

Use this OS, instead of the one in the guide:
Newest 8110 OS 4.5.0.124 (Mulit-language)

And ignore the stuff about ColorPearl/BlingBall as you have a 8110, and don't have our fancy-shmancy lights.

Note:
If your SIM is the problem, you'll need to get a replacement. If it's not the problem, then you've more than likely got some corrupt files on your media card. If you can successfully download the files off it, you'll probably see some with ".rem" after the normal extention. Delete them, and the others can be safely put back on.