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Traveling to Uzbekistan and then returning to Kazakhstan via train with a passport expiring in November should not cause issues for a flight on August 21st and return on August 29th, as the passport's validity exceeds the travel dates. However, be aware that some countries require passports to be valid for at least six months beyond the travel date.

When traveling to Uzbekistan, ensure your passport meets the entry requirements. While a passport expiring in November is valid for travel to Uzbekistan in August, some countries have stricter rules requiring passports to be valid for at least six months beyond the intended stay. It is advisable to check Uzbekistan's specific entry regulations.

Traveling from Astana to Tashkent with a Russian passport that expires in November for a trip from August 21st to August 29th should be permissible, as the passport's validity covers the travel dates. No specific exit stamps from Kazakhstan are typically required when departing by air on a foreign passport, even if the return train ticket is booked under a different document.

For nostrification of an Uzbek school certificate (attestat o srednem obrazovanii) in the Czech Republic, an apostille is NOT required due to a bilateral agreement between the Czech Republic and Uzbekistan, similar to the agreement with Russia. Only a notarized translation is needed. This is based on Article 13 of the agreement. Some universities may also require a document detailing subject hours, which might be separate from the main certificate. If this document is unavailable and cannot be obtained from the issuing school (especially if it's closed or travel is difficult), it may not be a deal-breaker depending on the university's requirements.