Help finding resistor
The color codes are blown away, nobody is going to know for sure what value that's supposed to be without a schematic

There's a little color left .. Brown &amp; Black ...  And judging by the physical size of it (1/2W ??), I would I'd bet a lunch it's either 1 ohm, 10 ohm or 100 ohm.    1000 ohm wouldn't likely be such a big part (wouldn't get hot so no need for that size).  Brown/Black means "10".  The rest is conjecture

Also note that the cap may have blown, and the resistor may have blown, but that doesn't mean those were the bad parts.   If something else failed (like especially a rectifying diode failing short), those parts could have been destroyed by it.   In other words, you may get this done, plug it in, and it'll blow again.  Resistors and small caps like that don't generally catastrophically fail w/o some external stimulus causing it.