What matters in space? Well, of course, firstly and most important, is our ability to survive in space. Medical studies and experiments, tell us that our biology weakens while in zero gravity. So, it is our hope, that Asgardia, when preparing to build it's first stations for habitation, will seek to correct the zero gravity effects. This is among other potential obstacles such as radiation, sustainable resources for food and water, oxygen, redundant power systems, etc.

When the most basic of impediments is resolved, we can consider other elements. This would include mental and emotional stability. Not everyone in space will handle it the same. Some may be very vulnerable to loneliness, space sicknesses, cabin fever, delusions, and so on.
There will need to be an emphasis on mental health, rehabilitation, and companionship programs. These will help Asgardians adjust to their new environments.

Next, we are looking at crimes. Asgardia itself is a new approach to human longevity and future planning, and it's pursuit, is one of progressive nature, therefore, we must develop new ways of handling crimes.
These issue would be best reflected through the approaches that successful nations on Earth have handled crime. The United States is by far, one of the worst examples of how to deal with crime. But many other countries, have handled it differently, providing rehabilitation, community function, and non-stigmatizing programs to keep people from feeling isolated.

Finally, family planning. Initially, Asgardia will be a limited scope nation in space. It's resource allotment is based around the bodies it knows to have, and plans for. This means that initially, there may be a requirement for population growth. Couples may be required to use protection, receive reversible surgeries, or abstain until a population policy is put into place.
There could be consequences for births onboard without consent from officials, and while this is by no means an official statement, it's possible you could see couples who are expecting, sent back to Earth for the safety of the baby, and proper population control.

So these are just a few matters in space to consider.