De
Nemo explained a very simple simple test for seeing whether the battery is in good condition and keeping a charge.
Do you have a simple multi-meter?
SDert it to DC voltage and then turn the dial to read DC Volts. With the engine NOT RUNNING put the two probes (RED is positive) ontot he battery terminals and read the shown voltage (in a digital simple meter) Should be around 13.2 to 13.6
That's good. That means your battery cells are holding a charge. Then, turn engine on and repeat. This should also show the current coming into the battery from the alternator.
Again, look for higher voltage coming into the battery upwards of 14V DC while running.
IF your meter also has an amperage read on it hig enough , around maybe 150 amps or so, I would check the amperage and see what that is reading. That will also tell you whatthe alternator is putting out and if it is working properly...
A couple simple things that you could easily learn by watching a you tube demo and then perform those tests yourself. You will be able to keep a closer eye on what is happening and know whether your battery is actually charging from the alternator, OR, if it being charged from the alternator but the PLATES inside are not holding the charge....
Somee asy electrical checks you shold learn to do living in the frozen tundra region...... lol!!!
Glad to hear yer van is up and running again...