Repairs Exmark Lazer Z Advantage 48" with Kohler 20 starting problem

I couldn't read the numerous post to learn if this issue has been discussed previously so forgive me if it has. I'm a newly to this site. As the subject implies, I just started having starting issues. One day, the mower operates as it was just purchased with no issues. The next time I wanted to use it, the key turns and nothing. The battery was very old so I purchased and installed a new battery. Tried it again, same thing. I kept switching the key on and off and after about six times, the starter engaged and acted perfectly. No issues with performance. Of course, my first guess is the ignition switch as when it works, it works great. It is just the on and off of the key to get it to start. Am I on the right track?

Repairs Exmark Lazer Z Advantage 48" with Kohler 20 starting problem