... במש"כ בענין קרה"ת בת"צ - יעוין מש"כ בזה בהוספה שבסוף רשימות על איכה.
בקריאת התוכחה כמה מנהגים בזה (ראה נ"כ שערי אפרים ש"ז סכ"ג. וש"נ).
בביהכנ"ס כאן נוהגין, אשר הבעל קורא עולה מעצמו (בלי שיקראוהו בשמו) ומברך תחלה וסוף.
Regarding what you wrote about Torah reading on a public fast day—see what is written about this in the supplement at the end of Reshimos on Eichah. There are several customs concerning the reading of the admonitions (tochachah) (see also Shaarei Ephraim 7:23 and other sources). In the synagogue here, the custom is that the Torah reader goes up by himself (without being called by name) and recites the blessings at the beginning and end.
Summary
This letter addresses different customs for Torah reading during public fast days, highlighting both referenced sources and local practice where the Torah reader ascends independently to read and bless.