There is nothing in that unit that requires 220V, so it is a mystery why that thing is on a double pole breaker. But when you throw that breaker I bet a bunch of stuff in your house goes on or off. You need to shut it off and walk around your house and map out what is turned off. You can do that with a small desk lamp or a plug-in radio, or better yet, one of those little dummy lights - er, I mean a circuit tester
. As soon as you feel comfortable with what you're getting into, think about moving the bathroom fixture onto a single 20A breaker. Call a pro if you're not comfortable doing that.
The "Jbox" that is up inside the ceiling box is basically nothing but a 4-outlet receptacle. there are four outlets visible, and if you open that, I think you will find all the whites tied together and each of the blacks tied to one of the wires coming from the switches. I think you may also find the outlets are labeled by the Mfr, but they might have fallen off over the years.
According to your first diagram and the labels on your old switch plate (if the labels were accurate) : R1 feed the vent, R2 feeds the heater, B1 feeds the light and B2 feeds the nightlite. That leaves B3 which may be the hot line -
check this before going forward because only you can confirm the guessing that we are doing.
As best as I can tell from the switch instructions, the hot line wants to go to the switch where you currently have the B4 jumper