I was in a similar position when I got my CAPM three years ago. In my case, which is probably not unique, the CAPM has served more as a resume filler than something that actually contributed to my performance at work. I didn't get a lead or manager role until over a year later, and even then (probably because we did more operations support than project work), it's not something that really helped me be a good lead.
I'm very happy to have recently gotten a real project managerPM job, and the interviewer seemed somewhat impressed at the CAPM on my resume, so in that sense it did help me. But a certification, especially an entry-level one like the CAPM, is no substitute for experience.
That said, I think the more certs you have in different areas, the better. They show that you have at least a basic understanding of the concepts. The CAPM test isn't terribly difficult (I used Rita Mulcahey's book to prepare) or expensive, and there's certainly no reason not to pursue a Scrum cert at the same time or shortly thereafter. If you plan to make your career in agile, you should look at the PMI-ACP down the road.
So in short, go for it.