Noted. Yup, i was aware of those. Thus that explains the less stringent PNP requirements by some and financial incentives like 60% rebate of tuition fee should the graduates remain.

Assuming one has gotten the nomination of one province, he or she has paid his or her dues by working in that province for few years, there is nothing stopping him or her to move to other provinces by law or physical force whe he or she decides to do so, no?

You need a US visa. Can be a real hassle to get into US for those whose countries are not on the visa waiver program.The US border agents at YEG (Edmonton International airport code) can be assholes at times.
Several years ago, one of my  cousin who was studying in Toronto was denied entry at YEG. She flew to Edmonton to visit a friend and siblings before flying to SFO to catch a connecting flight. Had to call the airline who then re-route her flight via Vancouver
One of my cousin's friend was denied entry at YEG a few years ago Her hubby was living and working in the US and she has a spousal visa. The US border agent wanted proof of resident eg bank statement or utilities bills  with her name on it. Go figure
Recently, another cousin's neighbour , a Pinay with Canadian PR,  was denied entry at YEG. Dont know the reason

The US consulate office is in Calgary and it is just over 3 hrs drive from Edmonton depending on road condition. There is no guarantee the consulate office will issue visa to foreign citizens in Canada. Mostly likely they will ask you to apply the visa in your home country This happened to one of my cousin some 10 years ago. Flew in to visit relatives. Went to apply US visa  but was denied.

So get your US visa in Malaysia prior boarding the plane

p/s...it is advisable to get a flu shot before coming over. Winter is flu season