Both ways are good.
>>1. 在學校注冊到明年秋天維持F1身份,等10月1號拿到H1後drop from school去工作?
If your company agrees to hold the offer from April to Oct, it is OK.
>>2.5月份申請畢業,轉成H4,等10月1號上班。
It is OK. Waiting for H4 period, you can stay. You can transfer to H4 before you graduate because H4 status does not affect your registration in school. But, unlike F1, you can not work.
>>1. 在學校注冊到明年秋天維持F1身份,等10月1號拿到H1後drop from school去工作?
If your company agrees to hold the offer from April to Oct, it is OK.
>>2.5月份申請畢業,轉成H4,等10月1號上班。
It is OK. Waiting for H4 period, you can stay. You can transfer to H4 before you graduate because H4 status does not affect your registration in school. But, unlike F1, you can not work.