not sure the best way to finger this

I'm working on learning this, Greensleeves, but I'm having an issue with a few parts of it. Mainly just the parts that are 5 on the A-string, and 3 on the G-String, and then again when it moves down to 3 and 2 respectively. I'm currently playing it using my ring and index finger in both cases, but I'm really having some issues getting set up, it's a rather awkward positioning.

Any ideas on some other ways of approaching the fingering?

Instead of G:3 and A:5, try E:6 and A:5. G:3 and E:6 are both the same note - Bb.

Similarly, instead of G:2 and A:3, try E:5 and A:3.

sounds the same, and is considerably easier to swap to, thanks.