From what the trailer looks like, I think the only thing that will be close to Empire is that the bad guys attack the good guys at their base, but I feel like that's getting pushed to the 3rd act instead of being at the end of the first. Also, a Jedi in training with a wise master teaching them. This is kind of how I think the plot structure will be-
Act 1- First Order attacks the D'Qar Resistance base immediately after the loss of Starkiller Base, since they know where it was considering Starkiller was going to fire on it. This will be more space battle than ground battle (thus eliminating Empire parallels) and features the Kylo-Leia scene from the trailer (if it wasn't footage spliced together from different scenes). Rey begins her training.
Act 2- Resistance falls back to Crait, an old Rebel Alliance base featured in an upcoming MARVEL Star Wars comic and the YA Leia: Princess of Alderaan novel (good read). Finn, having woken up from his coma goes undercover with Rose on Canto Bight to find a way to infiltrate the First Order. This is where we encounter DJ (who is totally not the Star Wars version of the Collector). The act ends with either the First Order arriving at Crait, or attacking Atch To, having somehow tracked the Falcon there. This is where we get our Rey and Kylo scene (again, if it wasn't footage spliced together from different scenes).
Act 3- Begins with either the First Order arriving on Crait from Atch To or beginning their attack. Most of the third act is the final battle and involves Kylo bringing Rey to Snoke, who then all fight eachother. Finn sabotages the First Order Star Destroyer, leading to a fight with Phasma and wins the day. Snoke either dies or gets away with Kylo in tow, or with Kylo going off on his own. Rey meets back up with the Resistance and Luke reunites with Leia. Unless they kill off Leia during the battle because of Carrie Fisher, which leads to a bunch of changes for what would have been IX.
Time will tell if I'm right.