Chances of getting accepted into the University of Washington - Seattle?

First, the long intro describing my credentials.

I am currently an undergraduate student finishing up my AA degree in Florida with a concentration in Computer Science/Software Engineering. I currently have about a year left, and I currently have a 3.4 GPA. I speak English, French, and some Spanish, and have made the Dean’s honors list several times. I have several extracurricular activities that I have been apart of such as volunteer beach cleanups and volunteering at the Humane Society. I also have some collegiate extracurricular activities such as being Vice President of the UAA (Urban Arts Association) at my college, and being the SGA chairman of the UAA at my college. I also have at least several professors willing to write me Letters of Recommendation to the universities I apply to. However, UW does not accept letters of recommendation, so in reality, that doesn’t matter. In my off time, I spend my time researching the field of Nanotechnology, and am wishing to get a paper that I am currently writing published. I am also working with a few of my professors at my current institution regarding the research as well. When I do transfer, I will be attempting to transfer into the Computer Science Engineering program, and then soon apply for double major with Biomedical Engineering. My only drawback is that I have had 5 recent withdrawals due to personal family issues. However, I have detailed reasons for all of them, and could write an essay on why the occurred so frequently.

What are my chances of getting accepted?

You want to double major in probably the two most selective majors at UW and get in from out-of-state with a 3.4 GPA?

Sorry, but very unlikely.

With a 3.4 GPA it will be difficult but it depends on what you get on your ACT or SAT. If you score high then you could have a good chance.

This is a TRANSFER student. Grades, transferable credits for the transfer worksheet of the intended major, and being a strong enough student to outrank the in-state competition are the most important factors. Not ACT/SAT.

Oops sorry! @AroundHere