Mike,
Which resistor did the lead come out of?
As for replacing or new build, I use 1% Xicon 1/2w. I have found that the Chinese sellers on "that auction" site have excellent 1-5W 1% types and are of the proper physical size. The temperature drift of these is 100 ppm/deg.C while the Xicons are 50 ppm. Using 1/4W 1%, I will use in places where the power is low enough. I like the low drift, very low noise and accuracy of the 1% types. This is my personal choice from using them long enough in enough things to decide to use these. Carbons are alright in some places. Replacing a carbon with a film type is usually better.
By the dot being off that much, it sounds like your "mag register" pot need adjusting. That is done by putting in a signal, setting the horiz. pots to centre, setting the sweep to 10x then getting the centre of the signal in the centre of the screen. Using the 1kc test signal to the input will give ten waveforms on 1ms/sec. in the normal position. You would want the centre of waveform five in the centre at 10x setting. This should get the dot in or near the centre when in XY mode. Moving the position knob some is likely.
Mark