The president can veto laws that the prime minister passes.
The president can veto laws, but the prime minister doens't pass any laws, the parliament does (false)
The president can order the prime minister to switch jobs with him or her.
The president can dismiss the prime minister but cannot appoint them a president: the president is chosen in an election (false)
The president can make himself prime minister and hold both offices.
I don't think this is true, as the prime minister is also the next for presidency; in case of death or incapacitation of the president, the prime minister will become the president. (false)
The president can dismiss the prime minister and appoint a new one.
This is true, the president approints and dismisses the prime minister