Your prayer is valid. What makes you doubt its validity? The Prophet salla Allahu alaihi sa sallam used to pray while wearing his ring!

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This seems fine as the Prophet salla Allahu alaihi wa sallam used to perform wudhu without taking off his ring.

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It is a highly recommended sunnah.

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There is no such thing related to it. Umrah is a great form of worship. If a person does it as a form of worship to cleanse himself from sins and then prays to Allah in front of the kaabah and makes Duaa, this is in sha Allah permissible.

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