The check engine would turn on intermittently while driving, then one Morning it would not start

A week ago, my car quit running and I haven't been able to diagnose the problem, not to mention I lack the tools to properly check it. I bought the car about a month ago and it ran fine. Occasionally when I drove it the check engine light would come on, but there was no real problem. I would turn the car off and turn it back on, and the check engine light would be back off.

A week before this happened it started acting weird. One night, driving to work, I used the right turn signal, but the right turn light didn't come on. It didn't do that again, but I found it weird. A few days later, I started having problems getting the car to start. It would click and finally start after a few seconds. Then finally one morning it just wouldn't start at all. Since it has been down, I have only been able to get it started once.

I changed the battery, so that's not an issue. I'm not sure what to do now. It clicks cranks when I turn the key, but that's it. Nothing else. Any ideas or information would be appreciated. Thanks for your time.