Step 1: Start from the easy pairs:
The T-balance is a strength hold that needs the rings, so D goes with IV. The forward scissor is a leg movement on the pommel horse, so B goes with III.
Step 2: Use these two pairs to cut options:
Options 1 and 2 both have B-III and D-IV. Options 3 and 4 have different B and D pairs, so they are out.
Step 3: Decide between options 1 and 2:
The two options differ in A and C. Either A-I, C-II or A-II, C-I. A kip is a pull-up swing done on a bar, so A-II. The backhand spring is done on the beam, so C-I. This picks option 2.
Final Answer:
Option 2, A-II, B-III, C-I, D-IV, fits all four pairs.
\[\boxed{\text{Option 2}}\]