It sounds like you have a seriously pressurized system, most likely due to a blocked tank vent. When air displaced by incoming material can't get out the vent, it pushes back against anything it can...in this case, back down the hose to the toilet. Be grateful that it's able to relieve the pressure by sending bowl contents back where they came from. Usually it's an eruption in the toilet or a guyser when the deck pumpout cap is opened, or a burst tank.
If it is a blocked tank vent, you won't be able to pump out or dump the tank. If no air to replace tank contents can be pulled into the tank through the vent, the pump will pull a vacuum that'll prevent anything from being pulled out of the tank. If the pumpout is a particularly strong one, or your tank has thin walls, that can result in a cracked tank.
It's also just possible that there's a blockage in the head discharge plumbing...a clog--somebody flushed a wet wipe or something else they shouldn't have, or a huge wad of the wrong kind of TP for use in a marine toilet, or sea water mineral buildup that's seriously reduced the diameter of the hose......that can push back pretty hard too.
You need to stop using the toilet until you've found and solved the problem. Start with the tank vent...the most common place for a blockage is the vent thru-hull...scrape it out with a screwdriver blade, ice pick or whatever works...if there's a screen in it, knock it out...screens cause more problems than they solve or prevent. If you don't find anything, check the vent line connection to the tank--both that end of the vent line and the fitting on the tank (I'd open the deck pumpout cap before removing any hoses if I were you).
If it's not the vent, start interogating those who were aboard immediately before this started...find out what might have been flushed. (And let this be a lesson to you as to WHY it's VERY important to explain to guests what can and cannot go into a marine toilet). Then we can help you figure out how to dissolve whatever it is without having to take anything apart.
It just occurred to me that what you're seeing may NOT be back flow, but flush water. You've said the inlet seacock is closed, but are you 100 certain that it really is? That the handle may be in the closed position, but the valve is still open? Seacocks do fail.....worth checking.
How dirty is the water that's coming back into the bowl? How high is it rising relative to the waterline?