Glad to see that you got everything squared away. Being a close cousin to the Browning A-5, the Model 11 shares much of it’s robustness and easy of maintenance (very few parts interchange though).
I collect A-5’s and find that barring abuse, even the ones close to 100 years old operate well with just basic maintenance. Keep the magazine tube clean and either dry or very light oil.
If the gun has trouble cycling, if the rings are set up correctly (and it sound like you understand how they work) the next thing to check is chamber cleanliness. It can look clean, feel clean, and still be sticky enough to prevent proper extraction. Pull the barrel, wrap some 0000 steel wool around a bronze brush of the righs size, chuck the rod in a drill and polish away. That has solved extraction problems for every A-5 I’have had including my 1914.
Avoid lots of oil in the action, it’s not that necessary, and if you store the gun upright it will drain down the action spring tube and make the stock “punky” over time. Getting excess oil out of the wood is a pain.
That gun will outlive us all, no matter how much you shoot it. Please though, no steel shot, it will score the barrel and with a full choke, likely bulge the barrel as well. Stick to the softer non-toxics.
I used to use 0000 steel wool, but got tired of trying to get rid of all of the little, short, steel "whiskers" that were left over/created in the process. I switched over to the green Scotchbrite pads and use the same process. They work a little cleaner - you just have to make sure and not get over-zealous with it. :-)
Regards,
Raven6