Can you double check my logic and maybe provide alternate ideas?

My situation is that I have two Core 2 Duo macbooks, model 2,1 and 1,1. One sustained a fall and basically still works as computer but screen is cracked, optical drive wont run and key board has some keys that broken of in a way that can't be replaced. The only thing wrong with macbook number two is a coffee spill. It won't charge the battery or run of the power adapter but will run on a battery that has been charged on another macbook.

I figure I probably have one fully functional macbook between the two. What I need to know is:

1. are these slightly different model numbers fully compatible for swapping out parts?

2. What is the best way to go about this in light of wanting to combine the display, optical drive, and keyboard from one mac with the logic board of the other. Should I think of it as a swapping of logic boards or cannibalizing a host of parts off of one back to the other? The former feels cleaner but the latter might be actually be less complicated and less work.

3. Is the logic board the firm culprit in the second macbook? Is there another possibility? Is there a clear spot where the logic board might be shorted that can be more easily repaired than the possible number 2 scenarios?