Never seen any of the Phantasm movies.
Really?
I'm sure that you will like it, it has an european, Argento feel at times

, in the locations, lightning and soundtrack...and what a soundtrack it is!!:
https://www.youtube.com/watch?v=i3ieQxm_M2IIt's also one of the first horror movies with a very dream-like narrative, 5 years before "A nightmare on Elm Street".
i have this wonderful special edition dvd-set of the phantasm series. all dvds are packed inside a silver sphere.
i once owned it too! very cool looking package!! Now i want the Blu Ray package of the whole series...in a few months it will be available, under the Christmas tree!!

i didn't know that there was another part coming and that the original is granted a 4k remastering is also a surprise. the new part is not directed by coscarelli but he produced and wrote the screenplay, i could see at the trailers you posted. promising.
"Phantasm Ravager" was directed by one of the (special effects) guy who previously worked on the series, but was indeed written and produced by Coscarelli...here's one of the early reviews from this new "Phantasm":
http://variety.com/2016/film/reviews/phantasm-ravager-review-1201873751/I'm pretty sure it won't be theatrically released here in my country France but i guess there will be limited screenings in festivals, for example...i would like to see it on the big screen and especially the new 4K print of "Phantasm"...never seen the first movie on the big screen, it must be something on the big screen!! so haunting, i guess!!
i totally recommend: john dies at the end
it's by coscarelli, some years old but it immediately has become one of my favourite movies.
I will give it another viewing because i was a bit disappointed the first time i saw it (dvd)...others Coscarelli movies i really like are "Bubba to tep" (great acting in this film, soundtrack and moving ending), "Kenny and company" and to a lesser extent "The beastmaster". I would like to see Coscarellii's first movie, "Jim the world's greatest"...have you seen it Cthulhu?
I also like the fact that Coscarelli remains an "indie" director, doing what he wants to do, cheap priced movies where he is mostly the unique auteur...he has his own little universe.