Yes, the Warne 1in Permanently Attached Low Rings will accommodate the Burris Scout Riflescope 2-7x32mm but will require you to purchase a picatinny top rail for your 45-70.
Either option is correct so it really comes down to personal choice or how big the objective bell size is.
Low height should be sufficient.
You would want the dovetail rings from the link below:
https://www.opticsplanet.com/warne-22-caliber-medium-scope-rings-w-matte-finish-41662.html
You will need medium height for clearance, here is a link to the comparable medium rings:
https://www.opticsplanet.com/warne-medium-scope-rings-w-matte-finish-41651.html
No, you will need high rings assuming it has a 1" tube diameter. If you have a 30mm tube diameter medium would suffice.
Yes, they will.
These are most likely too low, we would recommend the medium height rings instead: https://www.opticsplanet.com/warne-medium-scope-rings-w-matte-finish-41651.html