What I do, in native code as well as in Sencha/Phonegap is to use a DatabaseHelper Class that I refer to. In that class you can see the version of the Database with : 
public DataBaseHelper(Context context) {
    super(context, DB_NAME, null, 2);
    this.myContext = context;
}
public void createDataBase() throws IOException {
    boolean dbExist = checkDataBase();
    if (dbExist) {
        // do nothing - database already exist
         openDataBase();
            int cVersion = myDataBase.getVersion();
            if(cVersion != 2){
                onUpgrade(myDataBase, myDataBase.getVersion(), 2);}
            close();
    } ....}
    @Override
public void onUpgrade(SQLiteDatabase db, int oldVersion, int newVersion) {
        this.getReadableDatabase();
        try{
        db.execSQL("ADD SQL QUERY HERE TO ADD TABLE");
}
        catch(Exception e){}
    }
private boolean checkDataBase() {
        SQLiteDatabase checkDB = null;
        try {
            String myPath = DB_PATH + DB_NAME;
            checkDB = SQLiteDatabase.openDatabase(myPath, null, SQLiteDatabase.OPEN_READWRITE);
            } catch (SQLiteException e) {
            // database does't exist yet.
            }
        if (checkDB != null) {
            checkDB.close();
        }
        return checkDB != null ? true : false;
    }
Although this is tedious it keeps your database future proof and the query is called at run time. This covers both your needs.
I hope this helps :)