We used to kayak sail a lot, (kind of our favorite thing to do with kayaks). Actually we bought the sailing kit with every single mirage kayak we ever owned, and have never taken a Hobie out without a sail kit strapped to the side of the boat, (not even once), lol just in case we find wind.
We also had furlers on all our sails, (this was all way before hobie came out with their own furler kit, so all ours were all PVC furlers).
Were talking thousands of miles of kayak sailing here, (most every weekend (all year round) for many years), mostly in the keys.
The one recurring issue that we always had on all our sail kits, was the masts would get bent near the bottom (from sailing load) and we continually had to straighten the aluminum masts, (just above where the mast exits the boat). You can safely straighten the mast a few times (on the work bench), but over time the aluminum gets weaker, and the mast has to be replaced.
What we found to work well was to insert a fiberglass pultrusion into the middle of the mast down near the bottom, (about 2 ft long).
In order to do that you need to drill out the cross pins that hold the bungy in place and remove the bungy that runs the length of the mast, (inside).
Of course there is a mast split at the center, once you remove the bungy, the mast can come apart. We simply taped the mast together at the joint, (we did exactly the same with our TI mast, (ie... taped the joint). We never broke the mast down anyway, we just furled the sail around the mast and hauled it around that way, (full length).
We used the daylights out of the sailing kits, on some of the masts, once they got too beat up, we replaced the entire masts with 7/8" dia fiberglass pultrusions, (you need to get the stronger pultrusions, (not the weaker ones, you need like 60% to 70% glass, (we found them online somewhere)). There are many different strengths available, you will need to experiment. One pointer about the fiberglass pultrusions is if you rub them, you can get glass in your hands. We always painted ours with a fairly heavy coat of paint, or wrapped the exposed areas, with black electrical tape, (kind of like you would wrap 10 speed bike handlebars).
We also placed washers under the bottom of the mast, (similar to yours). On a few masts I also epoxied a blob of epoxy, (or bondo) onto the end of the mast at the bottom, and rounded the bottom of the mast to a ball. It's spins way easier on the ball shape.
On a few of the masts we also found some 2 inch wide PTFE adhesive tape, and wrapped the base of the mast with that, ( I have have no idea where I got it from though, (I work in manufacturing, and just brought a roll home from work, we used the stuff for automation slides, (lol, it was probably uber expensive).
Obviously we were a little nuts about kayak sailing, (overkill). Lol here is a pic of our old Oasis from 2008
This was one of our Revolutions, (we had several of these).
This was one of our old Tandem Islands all rigged for kayak sailing
Yea we were a little over zealous about kayak sailing I guess, but boy did we have a lot of fun.
Hopefully some of our pointers will help you.
Have fun
FE