me, insecurity and relationships

[pgcar]

Hey guys, new to this site but I really like what i see so far. I have just gotten out of a relationship, not by my choice, it was hers. This was a relationship I never thought would end, the person I wanted to and still want to marry. It has been 7 weeks or so, and I still feel the same way. I will admit that I have not necessarily handled the break up the best way, for example, she asked for some space and I did not give her as much as she probably needed. Needless to say that now that I have not really been contacting her, I am hoping it is not too late.
I have taken stock on the reasons she gave for leaving me. One of them was not being emotionally connected enough to her, she also thought that after being with me for three (3) years that we should have been much further along as a couple and she also felt that I did not look after her needs for emotional support and even sex enough. I am of the opinion that I can fix these. The distance while not easy has forced me to take stock of my life as an individual and I have since put things in place which demonstrates more independence and taking responsibility for my life overall.
However as i said above, I still want to have a relationship with my ex. I know she still loves me, but as she has said, it takes more than just love for a relationship to work. How can I demonstrate to her my willingness to work on the issues we had, considering all I have said.