Yes, so everything is as I said. You have a (6)(C)(i) ban which is a lifetime ban for fraud or misrepresentation. You were also denied under (7)(A) which basically means you failed to overcome the presumption of immigrant intent (which is a generic reason they use to deny nonimmigrants for anything in your case that they don't like). (7)(A) is not a ban (i.e. inadmissibility for a period of time) by itself; it is only an inadmissibility for that time only. However, after your denial of entry, you were removed by expedited removal (INA 235(b)(1)) rather than being allowed to depart voluntarily, and this removal triggered a 5-year (9)(A) ban (i.e. in the 5 years after removal you will be inadmissible under (9)(A), but (9)(A) was not a reason for denial for that entry).
The (9)(A) ban is over, but the (6)(C)(i) ban will remain forever. So that will either need to be waived, or perhaps you can somehow argue that the determination was incorrect, that you didn't actually commit fraud or misrepresentation.
In any case, if you are not a Canadian citizen, then you would apply for an F1 student visa as you normally would. If you are denied the visa due to the ban, and if you are not also denied due to failure to overcome the presumption of immigrant intent, then the visa officer can decide whether to recommend you for a nonimmigrant waiver. If you are also denied due to failure to overcome the presumption of immigrant intent, then there is nothing you can do except apply again later, since immigrant intent cannot be waived.
