Namkaran is the Vedic naming samskara, traditionally performed on the eleventh or twelfth day after a baby's birth. This finder scans the date range you give, for your city, and ranks the auspicious naming windows on that rite's own nakshatra and vara sets - the fourteen asterisms and four weekdays printed in Kalaprakasika ch. III, the Namakaranam section. It is the one activity in this finder whose rule set carries a chapter-and-page citation.
Namkaran is the naming rite and one of the sixteen samskaras of Vedic life. The Grihya Sutras place it on the eleventh or twelfth day after birth, though families also perform it later when circumstances require.
By custom the child's first syllable is drawn from the janma nakshatra - the Moon's nakshatra and pada at birth - which maps to a specific sound (nama-akshara). The formal ceremony then announces the chosen name at an auspicious moment. The syllable itself comes from the birth chart, not from the ceremony date, so the two are chosen independently.
This is the one activity in the finder whose rule set is transcribed from a named chapter rather than assembled from general practice. Kalaprakasika ch. III (Ornamentation; the Namakaranam section, p. 30, in N. P. Subramania Iyer's 1917 translation) prints fourteen asterisms for the naming rite: Ashwini, Rohini, Mrigashira, Ardra, Punarvasu, Pushya, Uttara Phalguni, Hasta, Swati, Anuradha, Shravana, Dhanishta, Shatabhisha and Revati. Those fourteen, and no others, are what this page scores as favourable.
The same chapter gives the weekdays: Monday, Wednesday, Thursday and Friday are good, and "other days should be avoided", which is the exact complement of the four, so the finder needs no separate rejection list. The sources part company on Tuesday: Raman's Muhurtha permits it for a naming when the day happens to be the child's 10th, 12th or 16th from birth, which Kalaprakasika's blanket sentence does not allow. This page reports that disagreement rather than resolving it - Tuesday is scored as unfavourable, not barred.
Kalaprakasika's naming section carries more conditions than a nakshatra-and-weekday scanner can express, and they are deliberately not folded into the two lists it does use. The chapter bars the 4th, 6th, 8th, 9th, 12th and 14th tithis of both fortnights along with the Full and New Moon; it bars the Sakuna and Vishti karanas; it asks for the rite in the forenoon; it wants the 8th house vacant at the chosen moment; and it prefers fixed signs, or common signs holding a benefic.
None of those were approximated into the nakshatra or vara sets, because doing so would silently rewrite the chapter's own numbers. What the finder does apply generally, for every activity, is the panchang scoring: Rikta tithis and Amavasya are marked down, Ganda Moola nakshatras cost points, and any window overlapping Rahu Kaal, Yamaganda or Gulika Kaal, or touching a tithi-gandanta band, is capped at 40 and dropped. The chapter's own extra conditions remain for you or your purohit to check.
For educational purposes. Astrological interpretations are traditional and not a substitute for professional advice.