I don't understand what do you mean by 'residency' because if your husband is ( or is going to start ) living in UK on a spouse visa, he is already ( or will be ) a resident. However if you mean Permanent Residence then the answer to your question is no. He has to live in UK for at least three years to be entitled for Permanent Residence.

No, even though Permanent Residence allows entry to some EU countries without any visa for a short stay, he will not be able to work there.

I hope this helps
Good luck