Don't sell the car. I'll be glad to help you get it running again. The fix should be relatively simple.
On the 4-door sedan, you are likely experiencing classic Honda main relay failure, due to cold solder joints on the printed circuit board. Symptoms are usually the car starts in the cool of morning but won't start in the heat of the afternoon. Simply replace the main relay, which is located to the left of the steering column. Remove the old relay first, to obtain the brand and part number. I recommend replacing main relays every 120,000 miles or 10 years, whichever comes first. Resoldering main relays is often not reliable. To do the job right, you need to desolder the joints (specialized tools) before resoldering them. Turning the ignition key on and off will help you locate the main relay, by allowing you to hear and feel it "click." Main relays often have 7 wires going to them. Record any radio codes and then disconnect the negative battery cable, before beginning work.
On the 2-door coupe, replacing the main relay, Ignition Control Module (ICM), and coil should solve the problem,
provided the Check Engine Light comes on and goes out after 2 seconds when the ignition switch is turned to ON (Position II) and you can hear the fuel pump in the gas tank run. Here's how to replace the ICM and coil yourself:
https://www.askmehelpdesk.com/cars-t...tml#post265896
ICMs and coil are problematic components on Hondas. Over time, they break-down under load.
To save money, provide me the exact Model (DX, LX, or EX) and engine you have. I'll search for good prices for you, if you want. Otherwise, you can check your local salvage yard and auto parts stores.
Don't jump start your Honda. A voltage spike can easily damage the ECM, alternator, or sensors. It's best to remove and fully charge the battery, which AutoZone will do for free. I want you to know that I've never seen a bad fuel pump on a Honda. Replacements tend to take place when the mechanic really doesn't understand Honda fuel systems.