This seems odd. Questions to ask: 1. Is the order really "official?" You can call the diocese in which it has its US headquarters and ask this question. There are some flakey orders out there. 2. What is the drop-out rate? Make them be specific. 3. Where do they send their students? If it isn't a recognized seminary or university, think twice. You don't want to go to an "in house" school and then have to pay lots of debts for courses that others don't recognize. 4. The lack of psychological testing, and assembling the required documentation (medical, but also baptismal and confirmation records) raises suspicion. I have never known an order that would do that.
Generally, when visiting an order, you should feel free to ask questions. They should encourage you to ask questions. And you should get answers. If an order seems evasive, dismissive of your concerns or doing anything shoddy, TRUST YOUR INSTINCTS. Pray, discern, and investigate.
If you wish, you can send me a personal message on this site. I'd be very curious to hear about this order.