Android -- SQLite + SharedPreferences, 2 Threads Simultaneous Read/Write?

I have two parts of a program (the actual app and a BroadcastReceiver) that could possibly try to connect to and modify a SQLite database and a SharedPreferences file.

1) I know you can make multiple connections to a single SQLite database. I also read that SQLite can "lock" the database when it attempts to modify or read from a database (UPDATE, INSERT, etc), so how do I properly handle the case where 2 threads try to modify/read a single SQLite database at the same time?

Right now, I have have this code snippet in my database connection code/class:

private SQLiteDatabase myDatabase;
public boolean insert(ContentValues columnValueMap) throws Exception
    {
        long result = 0;
        int attempt =0;
        do
        {
            if(!myDatabase.isDbLockedByOtherThreads() && !myDatabase.isDbLockedByCurrentThread())
            {
                synchronized (myDatabase)
                {
                    result=myDatabase.insertOrThrow(TABLE_NAME, TEXT, columnValueMap);
                    if(result ==0 || result == -1)
                    {
                        return false;
                    }
                    return true;
                }
            }
            else
            {
                Thread.sleep(50);
            }
            attempt++;
        }while(attempt<=5);

        throw new Exception("Database Locked!");
    }

2) Do I also have to worry about simultaneous access for a SharedPreferences file (It doesn't matter which thread gets access first, I'm just worried about errors being thrown)?

Thanks.

[EDIT] Proposed change

public boolean insert(ContentValues columnValueMap) throws Exception
    {
        long result = 0;
        synchronized (myDatabase)
        {
            result=myDatabase.insertOrThrow(TABLE_NAME, SMS_TEXT, columnValueMap);

            if(result ==0 || result == -1)
            {
                return false;
            }
            return true;
        }
    }