I would scrap it clean and see what is there - the meter might say that it is ok, but if the trace has been damaged and is barely making contact, the meter would say it was ok. You will also need to make sure that the trace if damaged is not making contact were it shouldn't as well.

Use a small wire brush to clean up the area - it will take the green paint off the copper trace, but that is no big deal, but at least the crud will be gone.

Yes, I also looks like the pads have been damaged to me as well - you iron is too hot or you held it in place way too long. If the pad is gone, you will have to use a jumper.

Sounds like you are a beginner, if you are going to attempt this yourself, I would recommend you use some small insulated gauge (24 gauge should be ok) wire to make the repair. You could use leads cut off a resistor to rebuild the trace, but that is a bit more advanced as you will have to solder the lead to the existing trace and is would not be easy to do for a beginner as it is a small area to work within.