Have they found the engine room of the Titanic in the wreck?

Yes, only parts of it was recovered. Most were too heavy to be brought up.

The engine room is in exactly the same place it has been since May 31, 1911.  I do not know if any of Bob Ballards ROV expeditions have gone into the engine room.

Quite problematic. 

As Ballard proved when he discovered the wreck.....the ship did in fact break in two when she sank. 

(That was disputed for many years , despite many survivors INSISTING it was true........others swore it did NOT. )  Ballard proved it DID. 

The result was, the bow part, which SLOWLY filled with water and then sank, when it broke in two......basically had equal pressure inside and out, and so sank well preserved  and landed virtually upright. 

The Stern section however....as you saw in the movie.....was lifted out of the water, and at one point, stood near vertically upright. 

This caused the massive boilers to RIP LOOSE, and crash thru the ship and  spill out all across the ocean floor........now known as the Debris Field. 

the  stern hull section itself, then quickly sank......but because it was NOT filled with water the same way the bow was......... as it sank, the pressure outside caused a massive  IMPLOSION,  and when it hit the bottom, the decks basically pancaked one on top of the other.,.,....making exploration of that half  nearly impossible. 

The bow half remained in remarkably good shape....but the stern section was a complete mess. 

Yes, only parts of it was recovered. Most were too heavy to be brought up. 

No one is salvaging the Titanic.  It's designated a sea burial cemetery and historical site.  I believe Ballard brought up some artifacts before that designation.

The wreck is broken into two main parts, with the bow section being relatively well preserved, but the stern section, where the engine room would have been, suffering considerable damage. Exploration of the stern section is further complicated by the fact tjat its located at 12,500 fet below sea level.