No crank no start?

2 weeks ago, my truck came to a halt at a set of lights, my dash lights erratically flashed and I tried to start the truck. It would not turnover at all, the battery acted like it was dead, would not turn over no lights of any kind. Called a tow truck and he came to me to tow it home and tried a jump start it fired up so I drove it home. The next morning went out to start it and the whole unit was dead. Checked the battery it registered nothing, so I put my battery charger on it for 14 hours, then I tried to fire it up. It turned over once then went dead again. Put the volt meter on it an showed 10.4 v. So I contacted the service place I bought the battery from they came out the next to check it out as I had a 30 month free replacement warranty. They took it for 2 days then came back with a brand new fully charged battery installed it and we tried it out, the engine turned over easily but would not fire, we tried this about 8 times and still nothing, I checked all the related fuses none were blown it would turn over but would not fire up. I don't have a code reader so I need help to try whatever I need to fix next or look for what I need to repair. Today is the 20th of Oct. And I tried it again at 10:00 AM, it will turn over but not fire. Can you help please? My name is Grant, I need to try something before I take it in to the Honda dealer.