Hi Ana,
Please find below against your each point
1) PO type F should be appearing in the 02 extractor. can you please check whether for this PO there are items available or this is as an held up PO. If so it wont be brought by 02 extractor.
2) You should refer to the note 684465 which gives a detailed information how to configure the process key.
3) The other standard extractors are 2LIS_02_ACC - which brings the account assignment Purchase order details , 2LIS_02_SCN - If you are using vendor confirmations and acknowledgement details.
Regards
Gajesh