I've studied Latin in high school and Russian for the last couple of years and I'm seeing the similarities with Russian just now.
Can the word order of mihi and nomen be switched at preference and still be grammatical correct?
Yes you can also say Salve, nomen mihi est (name) and still means hello, my name is (name)
Pronouncing Vs as Ws is new to me. In the Salve Regina prayer it is pronounced like a traditional English V. So can it be either or?
Actually, pronouncing with a W sound is a germanic thing. But it doesnt really matter cause we dont know how romans talked ):