Do I need to remove the engine to use this kit?

No — that's the whole point. This is designed for top-side extraction without pulling the engine. You'll access your drain point from under the hood normally.

Will this work on my vehicle if it's not listed?

This kit is universal, so compatibility depends on your engine's drain point accessibility and line diameter. If your vehicle has a standard drain location you can reach from above, test-fit the connections before committing to a full drain cycle.

What size container do I need for the drained oil?

That depends on your engine's capacity — check your owner's manual for total oil volume. Have a drain pan ready that holds at least that amount plus a small buffer for residual fluid in the lines.