Before buying any parts, I would run a compression test. Given the circumstances, the simplest explanation for why it won't start is that the engine is toast due to running without oil. That should be ruled out first.

 

Logical point.

 

You think even with the weak spark issue that compression is the most likely culprit?

I talked to a local Honda mechanic and he said that what happens on the older engines is that when you run it for a bit to warm it up, then shut it off, it can flood. Something to do with the carbon buildup. He said to take out the plugs to air out the cylinders, then try starting it while trying to minimize the fuel coming from the injectors. I did that and it sounded like I got a fire or two, but then went back to turning over with nothing.
Perhaps if I had a stronger spark?

 

OK. I got the compression tester from Auto Zone. I read the compression testing instructions on the link. It says the ECU fuse is in the box under the hood. None of the under hood fuses is labeled as ECU. Could it be labeled as something else?

Thanks.

 

It's fuse 44:

 

Weak spark is clearly a problem and will need to be fixed. But mk's point is that you should rule out a more important problem (blown engine) before investing in fixing the spark problem.

 

Well, I did the compression test.
Here are the compressions by cylinder: 1 - 70, 2 - 70, 3 - 50, 4 - 70.
Doesn't look good.

 

Sorry. If you followed Forty's instructions, then the cylinder compressions suggest that shopping for a new engine is a good idea.