Rules for verbs are:
1) In main clauses, the conjugated verb is in the second position (counting grammatical relevant parts of the sentence). It is NEVER in first position.
2) In questions, and in questions only, the conjugated verb is in the first position.
3) In subordinate clauses, the conjugated verb is in the last position. One can recognize subordinate clauses by the conjunction, such as "weil", "dass", "obwohl", etc. There are also conjunctions for main clauses, like "denn" and "aber".
1) "Ich kann Zeitung lesen.".
2) "Kann ich Zeitung lesen?"
3) "..., weil ich Zeitung lesen kann", "..., obwohl ich Zeitung lesen kann".
But: "..., denn ich kann Zeitung lesen", "..., aber ich kann Zeitung lesen".
The same works for any other word, it's not a condition related to "kann". The point is that in a construction "können + infinitive", "können" is the verb that gets conjugated. If you change the sentence so that a different verb is conjugated, then the rules apply to this verb.
1) "Ich soll einen Aufsatz schreiben."
2) "Soll ich einen Aufsatz schreiben?"
3) "..., weil ich einen Aufsatz schreiben soll."
1) "Ich lese Zeitung."
2) "Lese ich Zeitung?"
3) "..., weil ich Zeitung lese."
For every example, it's the same set of rules.