In all of this it is worth remembering that the pitched battles of the ECW were short fast bloody affairs, (unlike later centuries and the TYW). Naseby, Marston Moor, Edgehill were all done in 3 hours each, even the slogging match of first Newbury was all done in less than a day. So the opportunities and need for heavy artillery batteries were just not a part of ECW thinking, they were mainly used for sieges. Artillery would have had a psychological impact, and was used to try and soften up the enemy, but the ECW commanders spent far more time, money and resources raising regiments of Horse and foote, not massive artillery trains.
As regarding Pike and shotte, the movements and actions of the pike and the shotte would often be all together, e.g. advance, en mass, retreat, en masse. The times when each weapon was deployed in it's own way would have often bee obvious. E.G. Muskets firing into advancing enemy or vis versa, then taking shelter under the pike to avoid cavalry charges. But the muskets wouldn't rush of and perform one action on the other side of the field, un-prodtected by the pike, or visa versa. (except where we have stated when commanded shotte etc. was used, on special occasions).

