Recently the Cote de Texas blog had a useful post on your question about mixing finishes. I thought that brilliant blogger Joni Webb had some useful suggestions. I wonder what others thought of her advice:

"So, to sum it up itâÂÂs personal if you choose to mix metals.
If you do here are a few rules to follow:

1. If you use shiny and matte metals together, keep them in the same color family either chromes/nickels or brass.

2. If you use all matte mixing metals looks good, especially antique and matte brass with satin nickel and oil rubbed bronze.

3. If you mix the metals in the kitchen continue the trend throughout the house. Just be careful not to overdo it the number of choices. Have a professional look at your choices to be sure.

4. Remember less is more. ItâÂÂs nice to have continuity throughout pick one knob, one door handle. DonâÂÂt get overwhelmed in the hardware store and buy everything you like.

5. ThereâÂÂs nothing wrong with understated. Using the same knob and handle throughout can be very soothing. To dress up doors to public areas buy backplates for the door handles."

Here is a link that might be useful: Cote de Texas blog post

No, they don't need to match. It starts to look like the hardware version of "Bed in a Bag".

Lighting and faucets can often stand on it's own. I absolutely would NOT try to match doorknobs or cabinet hardware to either of those.