I haven't played Doom or Wolfenstein so I can't comment on how well you've recreated those experiences.
- The atmosphere is on point due to the audio and the dark fog that hides distant objects. You have a run option but there doesn't appear to be any real reason to walk so I would have the player use a single speed.
- It took me a while to figure out how to switch weapons; I tried mouse scroll, Q/R keys and eventually found that you need the number keys. I think having multiple controls that do similar things is a good way to help the player figure out the controls which is especially important for keyboards.
- What killed me in the end was multiple enemies hitting me all at the same time. It would be good if there was an invulnerability period after taking a hit and a speed boost to gain some distance. This suggestion has two uses; as feedback for taking a hit which is something you could have improved here, and giving the player more opportunities to learn from their mistakes.