What you have done is simply uploaded your Access database to your server. This will not accomplish what you are trying to do. All this means is that if someone clicks on the file, it will download the database to their local computer. Any changes, etc. that they make will only effect their local copy.
For what you are trying to accomplish, I would recommend trying to find someone local. What you will need to do, is to extract the information from your current Access database, create the same tables, etc. in MySQL on your server, import the information, and then, most critically, write custom web pages to access that information. Or, you can still have the Access database and then write custom web pages to access that information, bypassing the export, create table, and import steps.
The big point is still going to be having someone write custom web pages to get to this information that allows for reading, and updating the tables with some sort of security as to what users can do what. Then you also need the reports to get the data out of the database in some usable fashion.
An easier, and probably cheaper, solution for you might be to store the Access database on your network (preferably on a server) and then have a computer or computers set up to allow remote access. Then people anywhere with web access could log on to one of these remote computers and access the database the same as if they were sitting in the office.
Yours is an all too common situation and most people really don't realize how much time and effort allowing remote/non-office access to critical business files can be.