How do I access all of my connections? Seems when I call them up i only get down to c in the alphabet. I have over 3000 and would like access to ALL of them.

Well, I do not have that many connections to test it, but when I use the search function on the connection page, and there are many matches, at the bottom of the page, there is a button "show more" and more people are then loaded if I click it. However, it would be comprehensible that there are some limits, because a huge number of the connections might crash the browser, or slow it down considerabely. 

You could use the Search function too to limit the number of listed persons. Although it lists also people who are not your Connections, the active (or demanded) Connections are listed at the top.