Would it look bad on my resume if I quit my current job to go elsewhere?

I just graduated from college in May 2015. My first job I had for 5 months and I hated it, so I quit. My 2nd job is my current job, which I absolutely love, except for one thing: my boss! My boss is super triggering.

I want to quit. I just don't know if it'll look bad on my resume for having 3 jobs in a span of 1.5 years. (I've had this job for 11 months. Yay.)

But let me say this: these 2 companies have been trying to hire me for the past year. They are both top 5 tech companies in the world, and getting a job at either prestigious company does great things for your career.

On the other hand, let's say I get a job offer but don't like the job responsibilities. Would it be advisable to ask my company to "price match" the proposed salary and proposed job title? It seems kind of "threatening" in a way, but if it works, then I'll be a lot happier. My boss already screwed me out of a promotion (because he's mean and doesn't like the fact I have mood swings, even though I'm a top performer). Also, I know my current title is not reflective of my capabilities. I'm certain I'd get a better job title at either of these companies based on my talents and skills. (I had a better title at my old job, but I was desperate for a job, so I just took the sh#tty title.)

I just don't want to be seen as "job hopping". I would have never quit my first job if it weren't for the fact they lied about what job I would be doing. (They told me one thing verbally, but then changed everything (responsibilities, location, start date, etc) 1 month before I was set to start when I went to sign all the paperwork. The only thing they DIDNT change was my salary.) So I learned a hard lesson there: make sure everything is written in a legal document first.

I just think this is a once in a lifetime opportunity. And since both of these companies offer scholarships for the mentally ill, I think I could be open about my BP with them, which is an added plus.