Just wanted to add that if it's not the neutral safety switch, try looking at your ignition switch! My friend had a similar problem on his 2009 CR-V. He went through the starter, the neutral safety switch, all of it.. In the end, it was the ignition switch. The key would turn, and everything would light up on the dash, but it wouldn't send the signal to the starter to actually crank. A lot of people overlook it because it seems like it's working fine. Given the year of your CR-V, it's definitely worth checking out! It's a relatively inexpensive part and not too difficult to replace yourself if you're comfortable with that kind of job.