Ah, I hadn't spotted it on Sarge Gerbode's website. Interestingly this version and Arthur Ness's version do differ in two or three places, so perhaps they came from different tablature sources. I don't know enough about Dall' Aquila to be sure.
However I think you have made one transcription error. in bar 15 the top note of the first chord should be C sharp and this should be followed by B and another C sharp. The classic problem in transcribing tablature - misjudging which course a tablature letter is on!
Sarge Gerbode's site has the great advantage that the music is available in MIDI format as well as PDF. So, if I pinch one of his transcriptions to make an arrangement I usually import the MIDI into Logic and export it as MusicXML from the Score Editor. The it can be opened in most scoring applications (I mostly use Sibelius). If you do this it yields a score in 2/2 with the note lengths doubled as I suggested.
The other thing you can do in making a guitar score is to make sone judgements about the movement of the different parts. Lute tablature, though it gives the overall rhythm, doesn't encode the duration of all the notes, leaving the lutenist to judge how long notes in individual parts should sound. You could consider editing your score to show this. For example in bar 1, it looks as if there are three parts, the bass D sounding thought the bar, a middle part, A sounding on the second beat and held until half way through the final beat (treating the piece as being in 4 time) when it is repeated and, in the top part the D sounding for a beat and a half to be followed by the C sharp. Like this:
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Eric from GuitarLoot
Renaissance and Baroque freak; classical guitars by Lester Backshall (2008), Ramirez (Guitarra del Tiempo 2017),
Yamaha (SLG 130NW silent classical guitar 2014).