Re: newbie here flushing out trailer brakes
Have to agree with Coop here- if the trailer is 10 years old and the master cylinder is crap the chances are very high that the wheel cylinders are frozen as well. They get wet and hot- much more likely to rust/seize up before the master cylinder. I'd pull the whole system apart before trying any flushing procedure. Then flush the lines (if they are still in OK condition) before installing anything new or you'll just get old crap in the new stuff.
You can get the complete 10" backing plates assemblies with shoes and everything for about $50 each. 12" are more but you get everything! That's the way to go when you have running gear issues.