Rocker arm side play

Yep, and you'll need to measure the correct length before you order. The pushrods will have a cup on the top to accomodate the adjuster. Get the new rockers first, then measure for the pushrods.

Keep in mind that some manufacturers state that only a thread and a half should show below the rocker. This is to ensure that the adjuster and cup on the pushrod get adequate lubrication.

Were the rocker shafts installed the right way? If the oil holes are in the wrong position, the rocker gear would get smoked.