Are these really baby back ribs?

I picked up a package of ribs labeled baby back ribs at the commissary the other week. The package weighed 3.93 lbs. Normally I pay more attention to the meat I am buying but I just kind of grabbed these with only looking at the sell by date and price per lb. When I got them out of the package to throw on the egg this afternoon I was surprised by how big and meaty they were and by the extra bones over part of the racks. I have only cooked ribs a couple of time and usually it is spare ribs. I posted a couple of quick pictures I took while I was in the middle of prepping the ribs below. I trimmed some fat off the meat side and pulled the membrane off the bone side. There was a line of fat that ran the length of the rack perpendicular to the bones and appeared to run deep and there was a second level of short bones over part of the rack. Should I have trimmed this off? I am really a novice with ribs and would love some input. I tried doing a quick google search of the forum and the Internet but couldn't find anything. I have one kid with pneumonia and one with strep so I mostly had to make a quick decision and throw the ribs on the egg while I could. I would like to be able to make a more educated decision in the future. Meat side rubbed with mustard and dizzy dust. I forgot to take a picture before applying the mustard. http://i1224.photobucket.com/albums/ee373/pacuare11/15B9FE19-7A74-4A0F-8CBF-03D1D7041C48-5202-0000050494D70E34_zps072ee315.jpg Two pictures of the bone side http://i1224.photobucket.com/albums/ee373/pacuare11/9163907D-7CEF-48E3-9DE4-8DE070CF690D-5202-00000504A5E16B7D_zps416339ed.jpg http://i1224.photobucket.com/albums/ee373/pacuare11/8CFC05F1-539B-4242-8903-955771A56B56-5202-00000504B35FB051_zpsd3740ac1.jpg