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Is different 2 phase locking a subset of each other? For example, if the schedule is Strict 2PL then it will also be simple 2PL.

Something like a 2PL is a subset of Strict 2PL is a subset of rigorous 2PL.
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• All schedules possible under Rigorous 2PL are also possible under Strict 2PL and Basic 2PL.
• All schedules possible under Strict 2PL are also possible under Basic 2PL.

Hence,

Rigorous 2PL $\subset$ Strict 2PL $\subset$ Basic 2PL