I don't think I would sail it without fixing those bulkheads. Losing the rig is a safety issue for anyone on the boat or in the vicinity of the boat. Fixing this is an ordeal, but it's one that others have tackled. Just use the existing bulkhead for a pattern, and since you are doing one, do them both at the same time.
While I'm all for being out on the water when at all possible rather than worrying about cosmetic fixes, this is a structural issue, and I think you are flirting with disaster if the chainplate is actually pulling up. Those loads on the chainplates can get quite high with strong winds, puffs, accidental jibes. I wouldn't risk it if it were me. Just my 2 cents.
Dave
s/v Lagniappe
O'Day 25