I can't seem to find an Alterdatabase method in jSqliteDataAccess, I believe there is a limited subset of ALTER TABLE supported in SQLite v3. I would say ADD COLUMN is an essential part of the jSqliteDataAccess component, not so much RENAME but would be a nice to have. Dropping and recreating a table is not so convenient.
Using this component to great effect so far, amazing how much development work has been done with LAMW