No small countries and no countries in the southern hemisphere have permanent seats on the United Nations Security Council.
Statements
There are a lot of conditionals here (no, no, each) and then one Some statement. We should get those conditionals ready (possibly diagram them) and then see if any of the chain together. Then we can check to see if the Some statement triggers any of the conditionals.
Small country → ~perm seat on UNSC
In southern → ~perm seat on UNSC hemisphere
perm seat → favor more peace efforts AND on UNSC favor greater role for UN in moderating regional disputes
Do these chain together? No. But if we contrapose the first two, they will also have the trigger of "perm seat on UNSC".
There are basically four things we know if you have a permanent seat on the UNSC: not small, not southern, favor increased peacekeeping efforts, and favor greater role for UN in moderating regional disputes.
The last statement says Some who favor greater are firmly against role in moderating more spending regional disputes on refugees
Are either one of these ideas the trigger for a conditinoal?
Nope. The 2nd idea (firmly against refugee spending) is brand new. The other idea (increased peacekeeping efforts) is an outcome, not a trigger, so there's no inference we can make combining the Some fact with the All facts.
(If I said , you would probably realize there's no forced overlap where Some member of the Dallas Cowboys lives in France. Same thing here. "All A's are B" + "Some B's are C" doesn't lead to any inference).
Goal
So since the last fact was useless, the correct answer will probably make a Trait Overlap answer out of the four things we know are true about permanent seats on the UNSC: not small not southern favor increased peacekeeping favor greater role moderating regional disputes