Map Positioning and Routing on Android

I have been instructed to create an small offline application in Android that have to:

a) Use our own map in JPEG format as the basemap (Google Map / OpenStreet Map is not applicable)

b) Show the GPS coordinates from external Bluetooth GPS (Google map services not applicable too!!)

c) Use Spatialite to build network for shortest path calculation

d) Display the route information on top of the JPEG

I am new to the Android application. I am confused wtih:

1. 
   

   After converting GPS data from WGS84 to Local coordinate system to Image coordinate system (x,y pixels), any javascript can help to show it on top of the JPEG file by a marker?

   
   


2. 
   

   Are there any map viewer available for displaying the georeferenced image file?

   
   


3. 
   

   How to display the route data (Lines) from Spatialite on top of the map?

   
   

I found most of the related Android apps make use of Google Map or OpenStreetMap, but none of them make use of the image file for positioning and navigation. I am not clearly understood how can i combine all those of things (JPEG only, Spatialite, GPS data) together, or are there any simple ways to do it?

Many thanks in advance.