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Hi, Welcome to JustAnswer. You're through to Chris, a Vet based in the UK. I am reviewing your question and will get back to you as soon as possible
Firstly we'll done for rescuing this little guy. Judging fro your photos he doesn't look that old, possibly 3-5 years or so.
Red or inflamed nostrils can occur due to infections such as chlamidia, however it can also be due to vitamin deficiencies (particularly vitamin a). It sounds like he may have been on a poor diet preciosuy but is now on a good diet with you. Hopefully this problem will improve over time with a better diet and antibiotics to deal with any infection which may be occurring. If symptoms persist then a swab of his nasal passages may be considered to check for other infectious causes to help guide more appropriate treatment.
I hope that answers your question? Please let me know if you need any further help or advice. Thank you for using Just Answer. Best wishes.