Yes, they do. There is a nursery and Sunday school for ages birth to 5th grade during both services. There is also Sunday school for Junior Highers during the 9am service. High Schoolers meet Tuesday evenings and young adults meet weekly at night.
Yes, there's children's classes on Sunday morning, at both services. Youth is a little different though. Sunday morning, the younger (5th-8th grade) have a separate service at the 9a service, but nothing specific at the 1045. The older (9th-12th trade) kids usually come and sit together at the later Sunday service (1045a), and then have their own service Tuesday nights.
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