I wish I could explain it in detail now, but I am afraid I have to leave soon. Just to let you know, No.1 and No.4 are NOT grammatically correct. "られる" and "もらう" are NOT compatible with each other. The others, I mean No.2 and No.3, are both correct, though the answer in this sentence is No.2 because you should use a transitive verb "止める (停める or 駐める) " here.

1). 止められてもらえません ：Gramatically possible but not natural 2). 止めさせてもらえません：Gramatically possible and natural 3). 止まらせてもらえません：Gramatically possible and not natural 4). 止まられてもらえません：Gramatically possible and not natural

ありがとうございました。^^

"止めさせてもらえません" is correct. Other sentences are not natural.

これは疑問文ですか？ ⭐疑問文の場合 30分だけここに車を止めさせてもらえませんか？ が良いと思います。