As you pick through this song really work on getting all of your strings to ring out, especially the open strings. This can be tricky as you slide your fret hand from the 2nd fret to the 4th fret. Really work on good left hand position so that as you slide you don't accidentally dampen other adjacent strings. Also focus on the timing. Players tend to speed up the first parts of the articulation notes (slides, hammer ons) and treat them as ghost notes. Listen to the song or read the staff notation to get the correct timing and rhythms.
You may find the syncopated picking more challenging than standard arpeggio picking. Focus on the picking pattern and practice it with just the open strings (no fret hand) to get comfortable with this style of fingerpicking. James Taylor plays this with a capo on the 3rd fret. You can play it that way too or just play it using standard tuning and no capo. Either way this exercise will work your articulation and fingerpicking technique.