According to Kurma Purana, the bridge will exist as long as the earth is there.
In the 21th chapter of the Purva Bhaga of Kurma Purana, Ramayana is narrated in brief.
With the mere look at the Rameshwara Linga, all the sins of a person
are washed out. There is not a slightest doubt about it. Till the
mountains are there on earth and the earth remains,...
A Partial answer.
Rig Veda 8.33.19 doesn't seem to be saying that women should wear a veil. This hymn 8.33 is about Asanga who became a female due to curse.
अधः पश्यस्व मोपरि सन्तरां पादकौ हर |
मा ते कषप्लकौ दर्शन सत्री हि बरह्मा बभूविथ ||
Cast your eyes downwards, and don't look up. Keep your feet closer;
let not anyone observe your back ...