I wouldn't recommend angel eyes because it is a long term antibiotic. Not healthy to have a dog on long term.
Usually, tearing and staining is due to a poor diet. Do you know what food he was on at his previous home?
If not diet related, you can try apple cider vinegar in his water. It helps with staining. Also, wipe the tears with a warm cloth so they do not accumulate and breed bacteria.
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