Certainly, here's the detailed translation that matches your requirements perfectly:
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"Could this have something to do with the hospital's exit…? Earlier, it was clearly marked as the hospital's exit, yet the sign read 'Entrance'."
"But, this is exactly the level of difficulty it should have."
"If the opening event were resolved this easily, it would actually make me uneasy."
"Thinking it through carefully…"
"The 'Murderer' should be connected to my attempt to leave the hospital. After all, when I dealt with him, the System sent a message stating that the crisis had been resolved."
"There's still one more issue that needs solving, namely 'finding the true exit.'"
"Perhaps, outside of the true exit, no other method can allow escape from this hospital."
"Let's assume that for now… Worst case scenario, I'll just try again."
Han Dong, just like before, pulled out the needle from the back of his hand and changed into the casual clothes from the wardrobe.