A sequel was announced by Platinum Dunes after the theatrical release of the movie, but after a year of no news where production stood on the sequel, producer Bradley Fuller confirmed via his Twitter account the sequel had gone out of production.
Although it's only been regarded as a remake of Friday the 13th (1980), it also combines story elements from Friday the 13th Part 2 (1981) and Friday the 13th Part III (1982), along with several references to Friday the 13th: A New Beginning (1985), Jason Lives: Friday the 13th Part VI (1986), and Jason X (2001).
When Trent and Bree are having sex in the bedroom. Bree is seen sitting up with her hands on top of her head holding her hair. When it cuts to showing Trent's upper body half. You can see Bree's hands by his neck and shoulders. When it cuts back to the same side view as before with Bree sitting on top of Trent as he is laying down. Her hands are all of a sudden back at the top of her head holding her hair. As quick as the shots are shown there is clearly no time for here to get her hands back up that fast.
In final scene Jason's mask strap is ripped hanging off of the mask. Then it is reattached when he comes out of water. But him returning may have been a dream of the final characters. In that case then his mask could be in any condition.
Link to the official site for the series, and you will be able to find out all information.
What major elements from previous films appear?
Several major plot points from the first three films in the franchise are repeated in this film. As in the original movie, Mrs. Voorhees kills several campers (off camera) before herself being decapitated with a machete by the last girl, who is said to be the sole survivor of her rampage. From Part II: (1) Jason is revealed not to have drowned but is a witness to his mother's death, causing him to go on a killing spree under the belief that his mother wants him to kill; (2) Jason keeps this mother's severed head in a shrine surrounded by burned-out candles; (3) Jason initially appears wearing a pillow case/burlap sack tied over his head; (4) A girl pretends to be Jason's mother to subdue him. In Part III: (1) Jason discovers the hockey mask after having lost his burlap sack, and the person 'donating' his hockey mask gets his throat slit; (2) Jason's first kill after getting his hockey mask is with a bow-and-arrow. Also, from Part 4: A character comes to the camp looking for his missing sister.
Have they included music from the other "Friday the 13th" films?
None of the music from the original "Friday" films were used, only in the trailers. However, Jason's famous "Ki-ki-ki, Ma-ah-ah" theme appears over the opening logos and about midway through the film.