You start in a canyon with some Marines, Firebats, SCVs, and Raynor. Slowly advance toward the white Command Center at the southwest corner of the map, but be careful and don't get caught off guard by the 2 Hydralisk and 2 Zerglings that unburrow in your path. Eliminate them and advance to the Command Center.
As soon as you take control of the white base, grab an SCV and repair the burning Engineering Bay north of your Barracks before it explodes. While that SCV is repairing, send your other one to gather minerals. As soon as possible tend to your forces near Norad II at the center of the map. Put your Marines in the Bunkers, repair them with your SCVs, put the SCVs in the Bunkers, and place your Goliaths between the Bunkers. Tell them to hold position, and remember not to build anything near Norad II or wander up the ramp northeast of your Bunkers, as there are a lot of Zerg there.
Back at your main base, have 8 SCVs gathering minerals and 3 building and repairing structures. Quickly get a Bunker north of your Vespene geyser, and 2 more between each pair of the white Bunkers. Put 3 Marines and 1 Firebat in each Bunker, and also build a Missile Turret behind each Bunker. Keep them in good condition.
When you have all your Bunkers ready, build 5 more SCVs to gather Vespene gas and prepare a strike force. Get 8 Marines, 8 Firebats, 4 Goliaths, 4 Vultures, 4 Dropships, and all possible upgrades.
If you look back at your starting location, you will notice a corner of a cliff north of where you started. If you scout north, you will find another corner not far away. Unload the troops you prepared from your Dropships there. You will be in range of a Sunken Colony, and destroy that first. Then, begin a sweeping motion with your ground units and destroy all the blue Spore Colonies you see. Make sure you destroy Sunken Colonies and units first.
As soon as the Spore Colonies are destroyed, grab 2 Dropships, load Raynor into one of them, and bring the Dropships to Norad II to complete your objectives.