Yes it will. Intel has way too many chipsets for them to list them all, List of Intel chipsets - Wikipedia, the free encyclopedia
so they broke it down to series and families. Yours is part of the 3 Series.
Should i use the INTEL or the Jmicron SATA drivers
Both if you are using both the internal and external ports.
Would the Intel software installation utility work?
As for the rest, I'll leave that to our Intel/SSD users to answer.