Do you think this is love?Should me and my G.F Stay together?

Me and my girlfrien have been togther for two years. Im 18 and shes 19 and we have been through just about everything together. Weve had evey fight in the book(and our fights are like Ali vs Frasier), we already argue like a married couple because weve had problems that most adults go through, but our intimacy always remains great physichally and emotionally and in the end we always are together again.We're both really in love with each other but weve got a 1 problem. The major issues weve had is that ive had to work on trusting her because she didnt always tell the truth, and i had to work on making her feel more respected. Do you think we should stick it out(possibly marriage) or go our seperate ways? I was accepted to Berklee and she was accepted to LSU, but we're considering staying in chicago to live and work together. Any advice would b appreciated.