As a Particular Baptist I don't believe the blood was shed only for the elect. I believe Christ's sacrifice produced blessings to all people, and made the offer of salvation to all people possible.
I believe the Atonement is limited in its application, not in its power, scope, or ability to save each and every person who ever lived.
I believe the Atonement is sufficient for all and efficient only for those who believe. And most Arminians will believe the same. Arminians also limit the Atonement to believers only.
Yes. Yes he does! As an Historic Particular Baptist I believe in Particular Redemption. That Christ saved me on the cross and nothing need be added to His finished work.
When, in time, I heard the Gospel, was drawn by the Father to the Son, and regenerated by the Power of the Holy Spirit, He then gave me faith to believe, repent, and obey. All of Him. None of me.