Right. Trained Dinosaurs. We already know according to the leaked map, that the park has things like the Pachycephalosaurus fight show, and Mosasuar feeding show, much like modern zoo's have different shows featuring trained animals. This may be the general extent of it for all we know. There is nothing to confirm that Chris Pratt indeed "commands" an army of "good" dinosaurs, and may just be a simple assumption based on the detail that the park "features trained dinos". Even in a case where a park handler is able to extend some limited authority over for instance Raptors, one would hope it would be much like how some animal handlers in the real world work with Lions, Tigers etc. where the simple fact is that the animals are still extremely dangerous, and more so should they break out or the handler not be present.
Hybrid Dino. Sure, it conjures up some freaky images, but again I'd guess it to mostly just look like a real dinosaur, just not one we have seen before. The concept itself seems entirely plausible to me in the JP universe, as genetic engineering and tampering, as well as playing god is a central theme. The first film even touches on the subject of the dinosaurs inheriting biological traits from the replacement DNA used to build them back up in the first place. That someone would at least explore the possibilities of creating a new attraction from a questionable corporate perspective seems perfectly plausible as well to me.