I would go with no shutters. Take them off and live with out them for a while. IMO they are not needed, the stone work speaks for itself and the shutters just cover up the beautiful stones.

Is the problem the threaded rod pulling out of the stone? I'd epoxy them in.

They are plastic spikes...they wear out and break. Also...that stone work holds the shutter off the wall slightly so the wind pulls on that harder.

Either go with masonry anchors and color matched screws...or just ditch the shutters.

Purchase "allthread" at any hardware store,cut to leingth so it reaches through and 3/4" beyond shutter, anchor bolts in stone with anchoring cement available at any hardware or big box store. Secure shutter with fender washers and nuts,paint to match.

The key to success is anchoring cement designed to swell as it dries. You can substute epoxy if you use the right consistancy so it doesn't leak out of hole before dry.

Thank you