Yes, education matters when applying to the US major airlines. Most major airlines will not even look at an applicant that does not have a four year college degree, so if the majors are your goal, I would plan on getting a degree.
Yes, it is possible to (and many people do) complete the 1,500 hours in a two year time period, as long as you are working for a flight school that is busy and has a fair number of students.
Flight schools do not generally recommend students to major airlines as by the time a pilot is applying to the majors, flight school is a distant memory. The majors want to see thousands of hours of flight time and most people build that time at the regionals.
You barely gave any information about yourself, but I would surmise that the fastest path to a major for you would be to attend a fast track school and get all of your ratings, then instruct to build your 1,500 hours. After you get hired at a regional, you could start work on your college degree online. Overall, you are looking at 6-10 years until you get to a major, but that is just a rough estimate and is subject to change widely.