Do Christian private schools have worship services?

Different schools have different protocols. Some are more religion oriented than others. The best way for you find out is to identify a specific school and ask them about their regimen. Google was probably unhelpful because there is no general answer.

Some do some don't, the One I attended in 1976 did but that School no longer exist, it closed and went back to being just a Church in 2005.

The best way for you to obtain this information is to searhc for Christian schools in your area for example and send them an e-mail and get a direct response from each one you contact.

I am surprised that you are asking a thousand strangers, instead of asking whichever schools you have any interest in.

The alternative to asking the schools, IF you truly trust God, is to simply pray to God to send you a Sign.

Yes Catholic schools usually hold mass before or during school.

I went to one when I was a kid, there was in fact a worship service. Thanks to that I'm now an atheist.

Some do, yes.