Spartan ops and classifieds

I was going to delve into hardcore story all weekend and was wondering Spartan ops will progress as I play it right? and it’s not hinging on me playing ASAP before the next episodes come out?

I have been putting off all story until today. Then after a quick run through to RE activate the terminals in HALO CEA for the classifieds in waypoint im going solo legendary for H4, then into spartan ops.

Also is everyone having service record errors?

Thanks in advanced.