"what aspects etc?
well now, english medieval music, the lute tradtion..."

Some lute music (not the stereotypical most famous lute music sound) does sound a lot like American parlor guitar. Such as this (although it's not from England):

https://www.youtube.com/watch?v=2BOwlgNubEI

Note the I to IV to I to V to I chord progression in the first strain, a la Mississippi John Hurt and Hobart Smith, from a guy who died in the 1600s.