This directly from the 1951 Refugee Convention. Page 3
This recognizes that the seeking of asylum can require refugees to breach immigration rules.
Prohibited penalties might include being charged with immigration or criminal offences relating to the seeking of asylum, or being arbitrarily detained purely on the basis of seeking asylum. Importantly, the Convention contains various safeguards against the expulsion of refugees. The principle of non-refoulement is so fundamental that no reservations or derogations may be made to it. It provides that no one shall expel or return (“refouler”) a refugee against his or her will, in any manner whatsoever, to a territory where he or she fears threats to life or freedom
Finally, the Convention lays down basic minimum standards for the treatment of refugees, without prejudice to States granting more favourable treatment.
Such rights include access to the courts,
to primary education,
to work,
and the provision for documentation,
including a refugee travel document in passport form.
Most States parties to the Convention issue this document, which has become as widely accepted as the former “Nansen passport”, an identity document for refugees devised by the first Commissioner for Refugees, Fridtjof Nansen, in 1922
The word should or first safe country is not mentioned in here. Even if it did mention it, should is not compulsory legally speaking.
It should be noted that people arriving here as Refugees or Asylum seekers are not allowed to work and receive approx. 35 pounds a week to live on and their accommodation is paid separately.
If anybody has any other reference to what a Refugee can or cannot do by all means reference it and lets have a look at it.