Point #1: No lving person I know uses 'shall' in first person affirmative or negative statements. Point #2: In a reported speech exercise, the past of 'shall' is 'should', not 'could' or 'would'. Point #3: In a reported speech exercise, 'tonight' is backshifted to 'that night'.
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Mister MicawberPoint #1: No living person I know uses 'shall' in first person affirmative or negative statements.British people do, don't they?
Thinking SpainHe said, "I shall/will study English tonight."Shall is possible and actually even used to some extent in British English even though it is becoming increasingly less common. In the first person it indicates no compulsion and therefore you cannot change it to should in reported speech. As MrM