The second encounter time stamped is the hardest part of these two chapters. Combat controls can be a little sluggish and imprecise, there is some lag in the characters movement as well.
I found the left corner at the bottom of the area to be the best area to kill from. I lost a life initially but then got it on the first try in that area. Exploiting the enemies since only the shotgun rushers will come into that narrow area. You are well sheilded otherwise. Just be ready to take them out and be aware of stray grenades that may make it inside.
There is also a good amount of extra grenades available. You can speed things up with those. I have a habit of saving them when I dont know whats coming up. Last time I played this was when it came out.
The game is mostly cutscenes it seems. The lock picking was rediculous so I edited it down. No idea how I did it, but I ended up moving the stick rapidly and kept spamming R2 until I got it.