Include page number references when asking questions, please. That's in the rules.
"can make a single attempt"
The Minimum Movement rule is for times when you don't have enough movement to move how you want. It lets you do one thing, and one thing only. Normally a standing attempt costs 2 MP. Under the Minimum Movement rule, you get an exception that lets you try to stand up once that turn, if it's the only bit of movement you make that whole turn, for only 1 MP.
If you have 5 MP available, then you don't have only 1 MP available, and so can't use the Minimum Movement rule. As such, you'd just try to stand up as normal: 2 MP per try (and so two attempts per turn for a normal Shadow Hawk). That leaves you with 1 MP: not enough for a third attempt that turn if needed.