This is an interesting question!
Here, the main clause is in Le Passé Composé, so Le Subjonctif Présent is used as the action after de peur que is still ongoing at the same time as the main clause.
Le Subjonctif Passé would be used if the action after de peur que was over at the same time as the main clause (conjugated in Le Passé Composé).
Take a look here: Sans que (+ ne explétif) + the subjunctive mood (Le Subjonctif)
Le Subjonctif imparfait is a literary form and used very rarely these days.
I hope this is helpful.
Bonne journée !
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