>I've got a cursor, created by a SELECT - SQL statement. By default, it's read-only and I could make it to be rewriteable by
>"USE DBF() AGAIN..." statment. How could I know if the cursor is read-only or not, because I have to to make some independent program, which deletes and rewrites records in cursor and I'm not sure that this cursors was opened in rewrite-able mode?

One easy way is to use a cursor naming convention to indicate it. For example:

1) RO cursor: c_mycursor

2) Writeable cursor: w_mycursor

Then just check the first char.