The questions you've asked actually highlight the problem some people have with levels of immigration.
Those public policy exemptions will relate to individuals and allow us the right to (for example) allow in someone infected with a deadly disease or a known mass murderer.
They do not allow us to temporarily close the borders because we're too full.
Currently, we have absolutely no control over how many of the EU's 500 million people we become home to. None whatsoever.
And there's little question that mass immigration is bringing serious problems with it - although it's also highly beneficial in an enormous number of ways too.
Many leavers simply want the right to decide who comes into our country in much the same way as pretty much every other nation on earth (outside of the EU) can.
Under EU law it is illegal for us to demand that anyone has either a job or a particular skill in order to live here.
I voted Remain but most of my area voted leave, and I know why. Our town has been truly swamped by Eastern European immigrants. This has been fantastic in many, many ways......we finally have dentists again, the high street is no longer full of closed shops, small businesses are booming....we're a busy town on the way back up again.
However, it is close to impossible to find rental accommodation here anymore, homelessness rates are up, our doctors surgeries are no longer taking new patients and all the schools (especially nursery and primary) are oversubscribed.
We have no new infrastructure to help us cope and it's difficult to plan for any when we have no way of knowing how many people it will have to cater for in the future.
This a problem and if we'd ever been allowed to properly address it without being called "racist, xenophobic, Little Englanders" then maybe the result of the ref would have gone another way.
But to answer your question...those two suggestions are currently illegal under EU law. Simple as that.