Lots of things "really help" with vet school admission, and research is definitely one of them. But it's not more important than other components; most schools look pretty broadly at applicants.
One thing you can't duck, I think, is the need for vet experience. You can find people who get in with really small amounts ... but my take on it is that a) those people are always VERY strong applicants in every other way, and b) there are always ends of the bell curve to muddle things up. So I wouldn't set your goal based on seeing somebody post saying "oh shoot, yeah... I got in with 150 hours of vet experience.... you don't need that much." In general, you'll want several hundred hours worth of experience. Other people can probably give you a better idea, but at a rough pull-it-out-of-my-ass number I'd say you should shoot for a minimum of 350, with 500 being better, and a few thousand being nice.
(That said, just like you'll see a few people get in with limited vet experience, you'll also see many people with thousands of hours - don't let that intimidate you either. Usually they worked as techs or assistants or whatever for several years. You don't need <that> extreme amount to get into vet school and frankly, I suspect that in the minds of most applications folks once you hit a few thousand it's all 'meh' after that. You've kinda made your point by a few thousand.)
Working multiple part-time jobs while sustaining a full undergrad load (and doing reasonably well) will definitely reflect well on you. No question. A 3.65 GPA is just fine. I mean, higher is obviously better and you only improve your chances by improving your GPA, but 3.65 is just fine. It seems to be viewed especially favorably to have a nice upwards trajectory in your last few semesters with the more advanced classes.
In a nutshell, I imagine you're mostly on the right track. I would make sure of two things. First, don't overlook vet experience. Research is great, but schools want to see sufficient veterinary experience. Many (most?) of them want to see a broad base of it, too (small animal, equine, large animal, whatever). You can definitely have most of it in one area, but why not plan to spend a couple days driving around with a farm vet? Or a week at an equine practice just hanging out to see what goes on? Second, don't overlook things like leadership roles in school clubs, volunteer service in the community, etc. Longtime, dedicated, steady participation in things like that reflect extremely well on an applicant and, in general, reflect positively on character.
G'luck. Kudos to you for having the foresight to think ahead and aim big.