Of course. The Apostles, their families, and many early disciples of Christ, were that Jewish remnant.
As for today's Jews, they are on the same footing as today's Gentile nonbelievers. All are free to accept Christ. The door is open to everyone. The choice is yours.
Yep.
Of all the false gospels that are out there the once that acts like Jews no longer have to accept Christ to be saved is particularly pernicious. As if somehow that though it was crystal clear that Messiah was NOT optional in the early church that is no longer the case because numerable generations have rejected Him.
Aside from that “good people” go to heaven guff there are few comparable 19th and 20th century toxic doctrines that have simply waved merrily as so many have marched unwarned into Hell.