You have already pretty much pinpointed the issue, it's an ignition problem. Without going into any exact diagnosis, looking at the pictures your cap, rotor, leads, coil and probably your sparkplugs are likely to be a bit on the 'dodge.
Checking out your leads involves putting them on the multimeter and measuring the resistance (ohms) through the lead. The resistance will vary depending on the length of the lead, but they should all be around 1k ohms I think. You won't get a continuity reading on ignition leads, as they aren't metal cored and by their design need a huge voltage via a coil to work anyway.
Wether it's a particular component or not thats failing you, age and poor condition of all of these components will further contribute to it not running right.
I'd look to replace the coil as it is probably the most likely suspect from your description, as Rotazuk suggested, but if and when you can afford it, do the rest of the components as well and you are pretty much guaranteed to rid yourself of any ignition issues for many miles in the future.
Pretty cheap insurance that you'll get home again if you like to get off the beaten track...
