It's difficult to tell from your question, but I assume you are accessing this from other MS Office applications? If so, there is a mode under the connection properties called "Share Deny None" - by using this mode, I was able to avoid most (but not necessarily all) of the read/write issues. Access is very fussy though, and it really only works when one person accesses it at one time .
More about Share Deny None: http://msdn.microsoft.com/en-us/library/office/aa140022(v=office.10).aspx Another post with similar problem: Connecting MS Access while another application using the same MS Acess File