Not exactly like yours but other problems more serious stuff like my game crashes everytime I go to bridge view, the knotmeters and the depth meters are just white square textures etc.
All of these despite the mod-order being correct, fixed it by installing a fresh copy. And yes, I think you're going to have to restart career.
If you do decide to re-install the game then try this for me will you? Don't delete your saved career, try to go back to your home port in-game, save it. Delete your SH4 but not your save file. Re-install the game, add your mods. See if you can still play your career. If you can, without that depth charge problems and others then that's good. If it doesn't work then most likely you're going to have to start a new career.
Good luck.