If I recall, there were also rocket launchers.

You’re probably thinking of Quake, which definitely had a rocket launcher.

Wolf 3D, as I recall, had four weapons. Knife, pistol, SMG, and chain gun.

Doom is an even closer equivalent with a rocket launcher.
It has been longer since I played Soon so I couldn’t remember what it had. I only really remember the chainsaw, the shotgun, and the BFG9000