1. Your options are the same as anyone else's. The fact you hold an F1 doesn't give you any advantages. If you wish to immigrate to Canada, you'll need to research Canada's immigration programs to see what it takes to apply and if you qualify. You can find detailed information here:
http://www.cic.gc.ca/english/immigrate/apply.asp
2. Unlikely. It tends to be extremely difficult to find employers willing to go through the LMIA process because it's so long and expensive. In order to be approved for a work permit, you need a job offer from an employer in Canada and that employer needs to obtain an approved LMIA.