If it's an easy fix that's fine but I need to be able to sleep at night knowing we are all safe and DIY on a coal stove doesn't really seem to fit that bill. Are there instructions online on how to do this or at least pictures of the parts and what needs to be fixed?
I scared the cr ap out of you - good, now you are paying attention. You were smart enough to work out that anthracite is the worlds greatest fuel, you bought a good stove that will serve you well and you found this board. That already makes you one of the elite. Put fear behind you as you have done the hard part.
Now this is an easy fix, if you can caulk a window you can fix this. If this noob can do it so can you. When the stove is cool clean off the coal and ashes, empty the hopper of coal with a shovel (this is the hardest part). Lift out the very heavy iron bed thingy with the holes in that the coal moves over, it sort of lifts up at the front and out. It if is sealed good (which I doubt) a flat screwdriver may help. Pull it out and turn it over. Clean it up with a flat screwdriver. Also the iron edge that it sits on needs to be clean. We need to make a seal here.
Whilst you have the top off vacuum up the underneath. My guess is that you bought it second hand as the glass looks like it has seen some war years so eventually you may need to give it a little service. Guidance available here, if needed. For now we just have to seal this sucker and get you back in business. Go to a hardware store and get a tube of 2000F fireplace cement. You don't know what to look for? Write back or phone keystoker (google the term). Now just like caulking a tile, squirt it around the edge as a continuous bead and drop the iron thingy back into the fire and you are done. Problem fixed. You are now a freshman in coal college as we all were once. Move on to graduation. Save a tone of money, pay taxes, buy a boat but don't give up you are nearly there.
Get a manual from keystoker, search the term on this board and read. There you made it - welcome aboard.