Please remove the zone restriction and the currency restriction from the AlphaUserPoints plugin. Then, make sure that you also set a big maximum number of points (MAXIMUM_POINTS option).
Then, make sure that your user has enough points (more than 10 times the total amount in dollars since 1 points = $0.1) or turn on the "partial payments" option of the AlphaUserPoints plugin.
Also please note that payment methods never display if the order total is 0. I see that you have a free product in your last screenshot, so in that case, it's normal that payment methods don't display.