I would not pull the breech plug. All you might do is damage the rifle. Is it dry down in the breech? If it is, you can shoot the thing out. Remove the nipple and pack powder down through the nipple drum. Then put the nipple back on, cap it and shoot it out.
Something to keep in mind... always be sure that the jag is down the barrel as far as it will go. If that jag was mid way up, it would be a barrel obstruction. So after you pack that drum, then be sure to seat that cleaning jag down in the breech.
I have shot stuck jags out of rifles. If you pack that drum full, it will shoot it out normally the first time. But remember if it doesn't, and you want to try again, you have to AGAIN, be sure that jag is pressed down as far as you can into the barrel.
They also sell a CO2 barrel cleaner. It will blow about anything out the bore that is down there. I am guessing the reason the air compressor did not work is because air escaped around the jag.
Get a range rod for the next time you clean. That is a common ailment of the rods that come with the rifles. They come off. I have had it happen and shot out the jag. Remember, when you pack that drum, it will shoot that jag a long distance. So if you aim at the ground to recover your jag, put a box or something behind the area you are going to aim, in case the thing bounces.