I'm currently looking at an older version board here (yours is indeed a newer version), the trigger input has a 100ohm resistor (marked '1000'), and the two vertical inputs are 39.2ohms (marked '39R2')
I also just pulled my late version board out of my TDS220, and all three inputs are 39.2Ohms (I measured with my multimeter, I don't want to risk damaging my good scope by removing the shield plate).
For repair, I'd be inclined to remove the charred bits of the PCB as best as possible (with a Dremel or similar) and cut the two traces right back to the BNC center pin and the via. Maybe fill the holes with a bit of epoxy, or seal it with some clear enamel (like nail polish etc) if you feel like it.
Then scrape back the solder mask on the vias there to expose the copper and solder a replacement resistor directly from the BNC pin to the via.
Also, check the solder on the BNC ground posts isn't cracked, it's common for them to get loose and usually they just need a good bit of heat and some flux to reflow the solder to make them solid again.
Don't forget to give the board a good wash with isopropyl alcohol when you're done to remove all the flux and junk.
