Assuming it was a 4-digit door code, it would be 10,000 possible combinations (10x10x10x10 - 10 choices per digit). That would presumably take a computer at least several hours to crack it by brute force. A human would take considerably longer than a 'couple hours', even more so under a stressful situation as Jessica was in.
If the code were any longer, that would go up exponentially. Even with the rhubarb marking the keys he used towards the end, she'd still have to attempt every combination from those digits, which would be 24 combinations. That is considerably less, but still daunting under pressure.
I doubt he has anything in the bunker that could be used against him, besides the knives and kitchen utensils. He wouldn't exactly have rat poison on his shopping list.
Flooding or a fire would only affect the bunker. It'd just end up killing both of them.
The rotary phone in the "home" was not connected, and he was probably careful enough to not bring a cell phone into the bunker. If he did though, she could try to get a hold of it. Smartphones (iPhones at least) allow you to make an emergency call from the lock screen without needing the passcode.
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