1965 Shasta Travel Trailer Brakes

Didn't notice if you mentioned whether it was single axle or dual or what size trailer you have?
None the less, I'm dealing with adding electric brakes to our '67 Compact.
I've stumbled across R & P Carriages near Chicago.  (I'm not promoting or advertising for them, but seems to be a good source with better pricing than others)  Depending on style / size / and mounting, before spending much money "restoring" & / or "rebuilding" yours brakes, I would replace the whole assembly.  For example; you can pick up a 10" brake assembly for only $37 a side.  Labor trying to keep yours "original" might exceed this price by a long shot and still not have longevity or reliability like new. 
I've ordered several items off of them in rebuilding my springs and they've been helpful and good to work with.  Unfortunately, the spindle threads are boogered up beyond reasonable repair on my original axle.  I have a couple other axles with brakes on them laying around, so I'm just going to have to narrow it down to fit the trailer. (no biggie)  Nothing a bandsaw and a welder won't take care of.

As always, just a thought, didn't say it was a good one.....