My car cuts off and now won't start on first try. I hear clicking noise under hood by dash and seems to lose power, and idles rough. Seems to burn a lot of gas.

If the CEL comes on and goes off after 2 seconds consistently, when the ignition switch is turned to ON (Position II), then replace the Ignition Control Module (ICM) and coil:

https://www.askmehelpdesk.com/cars-trucks/faq-how-troubleshoot-repair-maintain-hondas-selected-other-vehicles-46563-4.html#post265896

If the CEL stays on, the ECM is likely bad (perform the K-Test). From the sound you described, the ECM may be intermittently failing.

Okay, I will pass this on and see what happens. I greatly appreciate your help. I will let you know what the result is.

Also the car misses some and dies out if I don't put it in neutral at a stop. Could it be the distributor cap and wires?

No check engine light is on.

No check engine light is on

I would check your relays ;)