I forgot to include these sentences.

Question

Can suggest be followed both by the "subjunctive" and "should"?
Thank you.

1)“I suggest/recommend that you should see a doctor." OR that you see a doctor.
Reported speech:
He suggested/recommended that I should see a doctor.
2) "I’d suggest/recommend that you should see a doctor.”
Reported speech: He suggested that I should see a doctor.

Answer 1

With "recommend" or "suggest" you don't need "should" - just the subjunctive is fine.

He suggested that I see a doctor.