More important than the 'lever rattling' is the locking lug contact and if you are getting any gap to speak of at the top of the barrel/breech when closed, indicating that it isnt quite seating all the way. With each barrel 'locked up' as well as it does, hold it with a light behind it and look at the breech fit. If it is seating down into the frame like the properly fitted one and shows no uneven gaposus, and the locking lug has good purchase across the shelf (magic marker is your friend) then you are mighty close to good.
This is correct and I agree.
You must understand how the latch works... The thumb lever is moving the latch in the receiver. If you install a barrel and the latch stays all the way down and the barrel opens. The shelf is likely too tall. Conversly, If when closing the action on a barrel and the latch goes all the way ''up'' your barrel shelf is too low. In the middle is what is correct.
When I fit a barrel to a receiver I like that latch to be just about half. But more is OK also. If the angles are not dead square, as the parts wear the engagement will change faster. If you start out at the upper range of movement.. you could likely find your barrel unsafe to shoot.
Do as suggested, throughly clean and smoke the shelf, majic marker or anything that will rub off easilly works well. Not open and close the action and see whats rubbed off the shelf.
CW