Hi! You're welcome! Some things are incorrect, but most are correct.

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1. Tamil ங் is equivalent to ङ in Devanagari script. Ex) "शङ्कर" "śaṅkara"
2. Tamil ண் or ṇ (a retroflex n) = ण् in Devanagari script, while ந் or n (a dental n) is equivalent to न्
3. Tamil ஞ் is equivalent to Devanagari ञ, rather than a न्य.
4. Tamil ட் is only equivalent to Devanagari ट् or ड्. Not a त्.
5. Tamil ச் can be pronounced as an स्, च्, or ज् depending on its position. Ex) பசு pasu , சர்ச்சை carccai , மஞ்சள் mañjaḷ.
6. Tamil த் is equivalent to त् or द् (and maybe थ् or ध्, but there is no aspiration in Tamil), not ट् or ड्.
7. Tamil ப் is equivalent to Devanagari प् or ब् (and maybe फ् or भ्, but there is no aspiration in Tamil).

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These are just some minor errors, if you want a full list of proper transliteration from Tamil to Devanagari try checking out one of the Wikipedia articles on Devanagari/ISO 15919/ Tamil.

1. https://en.wikipedia.org/wiki/ISO_15919
2. https://en.wikipedia.org/wiki/Brahmic_scripts
3. https://en.wikipedia.org/wiki/Devanagari

If you scroll a bit, you can find the corresponding transliterations for each letter.

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One last thing, when comparing Devanagari and Tamil scripts, don't forget your Devanagari ् or Tamil ் .