Long post, skip to TLDR at bottom if you'd like. 

So I moved into a new apartment in March, and not a week has gone by without a roach sighting. We've gotten the complex to spray + deeper spray (removed all items from drawers and cabinets). Originally, the roaches looked like the roach from Wall-e, and they weren't great at escaping. Just kind of dumb bugs. But about a week ago we did the deeper spray, and I haven't seen anything besides one random dead one on the kitchen floor till tonight. I opened the pantry door and the fella in the first picture greeted me exactly the way he is in the picture. He was in fact, not dead (yet). The second picture is a dead one of the other species, I apologize for such grainy pictures; it's been hard to get a good pic. 

I spent a while vacuuming, mopping, etc., and when I went back into the kitchen to put away the mop, I saw the same breed of the new fella on the door in kitchen, kinda hobbling a little. I sprayed him kinda quick, but he ran quick as hell under the fridge. I had a huge German roach problem as a kid so this is like my nightmare, and I took some time to research but I'm not quite finding anything conclusive. Seems this breed wants to live more than the other, I just want them out of my new home. We think it's the next door neighbors, and we're talking to the management tomorrow to see what we can do further, though the lease is pretty stringent. 

Anyways. TLDR: I found these different species of roaches (?) in my home and would like to know if anyone can ID the through these grainy ass photos, so maybe I can know better what I'm dealing with. (Both photos picture them belly up, the second one IRL looks just like the roach in the movie WALL-E)

For the bot: I am not requesting assistance with pest removal, just an ID. 

Roach (?) identification