just take it to a jeweler. my store does polishing for a small fee (like $5-15 per piece, depending on complexity & size)
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I bought a silver polishing cloth once and it's been able to shine up just about anything. I use it on all my sterling...even really badly tarnished pieces...and they shine up beautifully. I bought mine from Tiffany's for $5.
Your problem is that you have a sterling plated brass bracelet, and it's not tarnished but the sterling wore off. I'm not sure it's worth it to have it plated again, it is probably a very inexpensive bracelet. If you love the style, maybe try to find that same style in sterling and buy that to wear.
But stop scrubbing becausevyou will just remove more of the silver.