PERM filing with new company when less than 1 year of H1B remaining

[AA1986]

I am on H1-B with max out in Feb-2017. My current employer informed me in Mar-2016 that they are unable to file my green card due to some company policy.

I am trying to switch to companies (either permanent or contractual position). Assuming that my new firm has no constraints and can file GC at anytime -

a. will they be allowed to file my Labor since less than 365 days remain?

b. If they file my PERM and I await output till Feb-2017, can my H1-B still be extended beyond the 6-year max out limit?

[usa7605]

I am on the same boat. Please share if you have any info