SQLite Database Locked exception

Somewhere along the way a connection is getting left open. Get rid of OpenConnection and CloseConnection and change ExecuteNonQuery to this:

using (SQLiteConnection c = new SQLiteConnection(ConnectionString))
{
    c.Open();
    using (SQLiteCommand cmd = new SQLiteCommand(sql, c))
    {
        cmd.ExecuteNonQuery();
    }
}

Further, change the way you read data to this:

using (SQLiteConnection c = new SQLiteConnection(ConnectionString))
{
    c.Open();
    using (SQLiteCommand cmd = new SQLiteCommand(sql, c))
    {
        using (SQLiteDataReader rdr = cmd.ExecuteReader())
        {
            ...
        }
    }
}

Do not attempt, to manage connection pooling on your own like you are here. First, it's much more complex than what you have coded, but second, it's handled already inside the SQLiteConnection object. Finally, if you're not leveraging using, you're not disposing these objects properly and you end up with issues like what you're seeing now.

You can use 'using' statement as below, that will make sure connection & command disposed correctly even in exception

private static void ExecuteNonQuery(string queryString)
{
    using (var connection = new SQLiteConnection(
               ConnectionString))
    {
        using (var command = new SQLiteCommand(queryString, connection))
        {
            command.Connection.Open();
            command.ExecuteNonQuery();
        }
    }
}