Let me start with your second question.
Alwill is a company in Tjechiƫ.
So they have to follow the rules/laws that apply there.
Secondly, since they are part of of the European union, they also have to comply to the European laws/rules.
Besides that, there are worldwide laws/agreements etc.
So yes, they must record and save certain "log details".
And yes, they must hand the information to certain official instances when asked.
The real question is why do you want/think you need to use a vpn?