look at the plate inside the furnace, not the owners manual. It will usually have that sears number and more. Is it 80 or 90 percent efficient? Clean the flame sensor, if it is direct spark ignition there will be metal rods infront of the burners, one is for ignition the other is the flame sensor.
I found the MFG Model #, SUGB105AG01. I can't find who the actual manufacturer is.
You are right, the furnace goes into lockout mode. I can turn the thermostat down all the way for 1 minute and then turn it back up, the furnace kicks in. I'm going to try cleaning the flame sensor. Any other suggestions?