I don't care for Skilar at all. The name seems masculine and the spelling trendy.
Do you like the name Skye at all? I think it's much more feminine.
Lynn is nice because it's so uncommon as a first name these days... it would be refreshing. The name with an "e" is also pretty... Lynne.
I like Lynn Faith.... but if you really like the name Skilar... made use it as a middle name, Lynn Skilar sounds nice... but I would go with the spelling Skyler.
Lynne Skyler is pretty and looks balanced.