[subject] + 在 + [verb] + [object] [subject] + 正在 + [verb] + [object] + 呢 [subject] + 没在 + [verb]
在 before a verb says the action is under way.
呢 on its own is enough in conversation: 他看书呢.
The negative is méi没zài在 + verb, and 正 and 呢 drop.
States don't progress. 是, 有, 知道, 喜欢 and 认识 take no 在.
在 marks an action in progress at whatever time the sentence is talking about, past or future.
在 is the action happening; zhāo着 is the state it leaves.
The progressive 在 and the place 在 are both zài. When both would appear, drop the progressive one and add 呢 if you need the "right now" sense.