First of all, the subjunctive mood does not figure in this question. Your sentence should read: They stood up and headed for the doorway. Both actions are in the simple past tense.
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MJThI would have said They stood up and head for the doorway.Thus my query, which is grammatically correct? Or phrased differently; Which is proper grammar?You have two past actions, occurring at very nearly the same time; you need two verbs in the past tense.