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A Pavlovich surname from Lviv is obviously Jewish. ))) It's the family name, not the name of her father.

Surnames in Russia (and to a degree in all Slavic languages) don't bear the name of...

Yeah, but Russian speakers would think you are a jew. ))) A surname that ends with -ovich is very common among the Jews.

To choose between Vill- and Vil- you should discard latin letters and write your father's name in cyrillic.
If it's Вилльям then you should use double 'l', if it's Вильям, then use only one 'l'.

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I bet there is a girl. :D