Stop -> most basic ex. The car stopped. Suspend = stopped with intention to continue later, more formal ex. The student was suspended from school (they're expected to come back to school afterwards) Pause = stopped for just a little bit of time ex. "Pause the movie for a second please" (expected to resume the movie very shortly) Cease = formal stop, usually used in legal documents or for serious situations ex. The lawyer advised her client to cease communications with her husband. Halt = less commonly used, often for inanimate objects or for animals ex. The car came to a halt at the stop sign.
They're all the same. I guess the only difference would be that "pause" and "suspend" sound more calm and the others sound a bit more aggressive.